Algebra Level 2

What can you conclude from this theory?

$2{ x }^{ 3 }\quad =\quad { y }^{ 2 }\quad =\quad { z }^{ 0 }\quad =\quad { a }^{ 2 }\quad =\quad 2b^{ 3 }\quad =\quad 3{ c }^{ 2 }\quad =\quad 4{ d }^{ 3 }$.

Note:

1.) Assume that pattern proceed as it is. If you know it?!.

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