Fill in the following blanks :
`15/18 = (square)/(6) = 10/(square) = (square)/(30)`

Answer

To solve the equation \( \frac{15}{18} = \frac{x}{6} = \frac{10}{y} = \frac{z}{30} \), we will fill in the blanks step by step.

### Step 1: Find \( x \)
We start with the first part of the equation:
\[ \frac{15}{18} = \frac{x}{6} \]
To find \( x \), we will cross-multiply:
\[ 15 \times 6 = 18 \times x \]
This simplifies to:
\[ 90 = 18x \]
Now, divide both sides by 18:
\[ x = \frac{90}{18} = 5 \]

### Step 2: Find \( y \)
Next, we look at the second part of the equation:
\[ \frac{15}{18} = \frac{10}{y} \]
Again, we will cross-multiply:
\[ 15y = 18 \times 10 \]
This simplifies to:
\[ 15y = 180 \]
Now, divide both sides by 15:
\[ y = \frac{180}{15} = 12 \]

### Step 3: Find \( z \)
Finally, we consider the last part of the equation:
\[ \frac{15}{18} = \frac{z}{30} \]
We will cross-multiply once more:
\[ 15 \times 30 = 18z \]
This simplifies to:
\[ 450 = 18z \]
Now, divide both sides by 18:
\[ z = \frac{450}{18} = 25 \]

### Final Answers
Now we can fill in the blanks:
- \( x = 5 \)
- \( y = 12 \)
- \( z = 25 \)

Thus, the completed equation is:
\[ \frac{15}{18} = \frac{5}{6} = \frac{10}{12} = \frac{25}{30} \]