Scale relative to distance from camera

This expression maintains the objects apparent size as it moves away from camera.
It's helpful for taking a flat layout and making a "multiplane" layout from it for animation.

After Effects 6
Camera
Expressions

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cam = this_comp.active_camera;
distance = length(sub(position , cam.position));
s = distance / cam.zoom;
mul(scale, s);

Or you can make the layer a child of the camera and use this simpler expression:

s = 100*(position[2]/parent.zoom);
[s, s, 100]

In this case, if you wanted to move the camera in relation to the multiplane layers, you'd simply create a new camera to animate.

(Min. Version: After Effects 6, Category: Camera, Type: Expressions)