Three quantities A, B, C are such that AB = kC, where k is a constant. When A is kept constant, B varies directly as C; When B is kept constant, A varies directly as C and when C is kept constant, A varies inversely as B. Initially, A was at 10 and A : B : C was 1 : 3 : 5. Find the value of A when B equals 18 at constant C.
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