
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
Given that segment \( I L \) is parallel to segment \( E U \) and segment \( R E \) is parallel to segment \( N I \), determine the value of the fraction

$$
\frac{F N \times F U}{F R \times F L}
$$

![](https://cdn.mathpix.com/cropped/2024_05_01_280b19a87fa67143351eg-023.jpg?height=211&width=437&top_left_y=2393&top_left_x=1409)

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