Answer
Yes
Work Step by Step
The homogeneous coordinates (1,2,3,4) represent the point $(1 / 4,-2 / 4,3 / 4)=(1 / 4,-1 / 2,3 / 4)$
Because the homogeneous coordinates (10,20,30,40) represent the point $(10 / 40,-20 / 40,30 / 40)=(1 / 4,-1 / 2,3 / 4)$
so the two sets of homogeneous coordinates represent the same point in $R^{3}$.
