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Question

a : b = 2 : 1, b : c = 1 : 3, c : d = 2 : 3, d : e = 1 : 2 Find a : b: c : d : e

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Solution

Given a:b=2:1
b:c=1:3
c:d=2:3
d:e=1:2
ab=21a2=b
also bc=13a/2c=13
a2c=13
3a2=c
also cd=233a/2d=23
3a2d=23
9a4=d
also de=129a/4e=12
9a4e=12
9a2=e
a:b:c:d:e=a:a2:3a2:9a4:9a2
=4a:2a:6a:9a:18a
=4:2:6:9:18.

1111616_1195867_ans_0b90a6408b714505acafbafc39bb8f51.jpg

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