Is each Quad on a different plan or is it a flat surface?
If it's the latter, I would build a single video clip with all 200 piece in it, it's gonna be MUCH less processor intensive, then trying to run 200 individual feeds. I mean, I'm not even sure a new 12 core Mac Pro could handle that.
You might want to give more information of what your final outcome will be, their might be a work around to what your trying to do, then duplicate like a crazy man.
Also, once you copy one, you can copy both, then all four.