Solve for a: d^{3}a^{2} = b^{2}dc^{4}

d^3a^2 = b^2dc^4

Now divide by d^3 on both sides, we get

d^3a^2 / d^3 = b^2dc^4 / d^3

a^2 = b^2dc^4 / d^3

Now take square root on both sides, we get

√a^2 = √(b^2dc^4 / d^3)

√a^2 = √(b^2c^4 / d^2)

a = bc^2 / d

Hence a = bc^2 / d

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