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Finding the Fourth Proportional to 48,892,734,986.30, 73,339,102,479.45 and 48,892,734,986.30

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Solution

The fourth proportional to 48,892,734,986.30, 73,339,102,479.45 and 48,892,734,986.30 is: 73,339,102,479.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,892,734,986.30 : 73,339,102,479.45 = 48,892,734,986.30 : x
  2. Step 2: Convert to fraction form
    48,892,734,986.30/73,339,102,479.45 = 48,892,734,986.30/x
  3. Step 3: Cross multiply
    48,892,734,986.30x = 73,339,102,479.45 × 48,892,734,986.30
  4. Step 4: Simplify right side
    48,892,734,986.30x = 3,585,749,301,660,846,391,296
  5. Step 5: Solve for x
    x = 3,585,749,301,660,846,391,296/48,892,734,986.30
  6. Step 6: Final answer
    x = 73,339,102,479.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.