
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Suppose the function $g(x)$ is defined on the domain $\{x_1, x_2, x_3, x_4\}$, so that the graph of $y=g(x)$ consists of just four points. Suppose those four points form a quadrilateral of area $50$. The graph of $y = 3g(3x)$ also consists of just four points. What is the area of the quadrilateral formed by those four points?

Present the answer in LaTex format: \boxed{Your answer}
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