The equation you've written appears to be invalid or malformed in its current state. It looks like you're trying to compute or discuss the summation of cubes of even numbers up to a certain limit, or something along those lines.

To clarify a few points, let's analyze the two parts you provided:

1. **The left part** (`4 = 2^3 + 4^3 + 6^3 + ... + 98^3 + 100^34`): It seems like there are numbers and their cubes being referenced, but it is unclear what the intention is with the "4" at the start. Also, the cube of 100 is likely meant instead.

2. **On the right part** (`= 2^3 + 4^3 + 6^3 + ... + 98^3 + 100^3`): This part indicates a series of cubes, but it's also missing specific structure or context around the summation.

If your intentions are to evaluate or set up a summation of cubes of even numbers, please confirm or clarify:

1. If you want to evaluate the sum of cubes of even numbers up to a certain even number (for example, up to 100).

2. If there are specific values you're looking to calculate that lead to potential equivalences or identify equalities.

If we consider summing up the cubes of even integers from 2 up to 100, we can express it more formally:

\[
S = 2^3 + 4^3 + 6^3 + \ldots + 100^3
\]

To simplify, you can express the \(n\)-th even number as \(2n\). The cube of \(2n\) is \(8n^3\). Thus, the equation above can be summarized as:

\[
S = 8(1^3 + 2^3 + 3^3 + \ldots + 50^3)
\]

From here, you would substitute the appropriate formula or method to compute the summation of cubes up to 50.

If you could clarify the context or the goal, it would help provide a more targeted answer.