Question

Pls answer the following

Answer 1

Answer:

I think the question is half it should be a³/d³.Moreover my ans is in the attachment

Answer 2

We know that, $\frac{a}{b} = \frac{b}{c} = \frac{c}{d}$.

Let's say their values are equal to some $k$.

Then $a = bk, b = ck, c = dk$.

Hence, $\frac{a^{3} + b^{3} + c^{3}}{b^{3} + c^{3} + d^{3}} = \frac{b^{3}k^{3} + c^{3}k^{3} + d^{3}k^{3}}{b^{3} + c^{3} + d^{3}} = k^{3}\frac{b^{3} + c^{3} + d^{3}}{b^{3} + c^{3} + d^{3}} = k^{3}$.

Now, $\frac{a}{d} = \frac{a}{b}\frac{b}{c}\frac{c}{d} = k^{3}$.

Thus, $\frac{a^{3} + b^{3} + c^{3}}{b^{3} + c^{3} + d^{3}} = k^{3} = \frac{a}{d}$.