The earth is 4.5 billion years old? That's pretty illogical to say. If the earth were that old, then the mountains would have eroded away by now, and wouldn't exist. Also, the Mississippi Delta accumulates enough mud that if the world were as old as they say, the Delta would be in the middle of the Gulf of Mexico.
Just sayin'.
To understand this, understand that The earth's "crust" ( outer layer ) "floats" upon a liquid layer of magma ( the mantle ), which is basically an ocean of molten rock.
Now, there are two types of "Crust", oceanic crust, and continental crust, which are very different. Oceanic crust is much denser. Wheras, continental crust is less dense, much thicker, and doesn't have the oceans weighing down on it, so doesn't sink as far into the mantle
If you dump, say, truckloads of rock into the ocean, you're never going to "Fill in" the ocean, because the sand will weigh down the oceanic crust and cause it to sink further, wheras the continental crust will now have less sand, which will cause it to "float" higher on the liquid lake of magma. Imagine a thin towel floating in a swimming pool: If you put something on top of it, you are going to weigh down the towel, and that part of the towel will sink further.
Furthermore, since magma is simply molten rock, if it ever breaks the surface, it quickly cools and becomes part of the crust. Also the deepest crust, if it gets pushed into the mantle by plate tectonics can melt and become part of the magma. So you're never going to run out of land, because you've got magma to replace it. At least not till the inside of the earth cools down.
Furthermore, mountain ranges are caused by the collision of "Plates" ( Google Plate Tectonics ), The plates are large sections of crust, which are constantly twisting and churning on top of the liquid magma, and they colide. Note that the plate tectonics of continental crust is different from oceanic crust (continental crust is lightweight, thicker than the oceanic crust, but not that dense, and lighter weight on average than the magma that is under it, so it doesn't sink into the magma ) Generally, when two plates colide in a way that one overlaps another, a mountain range is formed. For example, the himalayas are caused because the indian plate is pushing HARD against the asian plate, so the indian crust is crashing into asian crust, which creates a mountain range as one piece of crust goes under the other.