7. (10 points) In each small square of a $4 \times 4$ grid, a non-zero natural number is filled. The product of the 4 numbers in each row, each column, and each diagonal is the same. The figure provides some of the filled numbers. What is the number in the small square where the star is located? $\qquad$

Will keep the format and line breaks as requested.
【Analysis】First, analyze the magic square rule in the problem and it can be solved by the comparison method, without the need to find the magic sum.
【Solution】Solution: According to the problem, we know:
Based on the rule of the magic square and the comparison method, let the numbers in the grid be as shown in the figure:
$$
a \times 2 \times 16 \times b=a \times 8 \times 32 \times 8, \quad \therefore b=64 .
$$

Then, according to $c \times 4 \times 8 \times 128=64 \times c \times$ star $\times 64$
The star is 1
Therefore, the answer is: 1