Concept:Express all quantities in terms of one variable, then compare them as a ratio.Explanation:Given A=41​B, so B=4A.Given B=21​C, so C=2B.Substitute B=4A into C=2B:C=2(4A)=8A.Thus, A:B:C=A:4A:8A.Cancelling the common factor A, we get 1:4:8.Answer:A:B:C=1:4:8, which matches option C.