Finding Maximum Value: Comparing Expressions with x > 0

Since $0 < x$

Which of the values is the largest?

To solve this problem, we'll evaluate the expressions based on the condition $0 < x$:

• If $300ax$ is considered, the sign and magnitude depend heavily on $a$. If $a$ is positive, $300ax$ is large positive. If $a$ is negative, it's large negative.
• $\frac{x}{300a}$ is affected by both $x$ and $a$. If $a$ is positive, this expression shrinks, if $a$ is negative, the sign is inverted, and it becomes positive, but its magnitude determination needs $a$.
• $-2x$ results in a definite negative value because $x$ is positive.

Without knowing the sign or value of $a$, we can't definitively compare or compute the sizes of the expressions relative to each other.

Therefore, the solution to the problem is: It is not possible to calculate.