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If (4a + 9b) : (4c + 9d) = (4a - 9b) : (4c - 9d), show that a : b = c : d?

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(By Componendo and Dividendo) 8a:18b=8c:18d or a:b = c:d.
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8a:18b=8c:18d (By Componendo and dividendo)
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(4a+9b)(4c-9d)= (4c+9d)(4a-9b) 16ac-36ad+36bc-81bd)= 16ac-36bc+36ad-81bd) -72ad=-72bc ad=bc a/b=c/d a:b=c:d.
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