Careful... some of the terminology is being misapplied here....

NO the C.G. ( Center of Gravity ) does NOT "stay the same" once the wing is on a plane.... or used in a different plane.

Rather it is affected by what you have in the fuselage, etc.



The CENTER OF LIFT which is what you really are concerned about, stays in the same position on the wing... however for the plane to fly the CENTER OF GRAVITY of the PLANE must stay in a workable postion relative to the CENTER OF LIFT.

That relative position may NOT necessarily be at the 4 1/2" mark at all!

Don't forget that a flat wing elevator versus an airfoil elevator on a plane will affect where the C.G. must occur for the plane to be stable.

Also in flying wing planes you must shift the C.G. substantially forward to aid stability to counteract the lack of the tail forces.