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Finding the Fourth Proportional to 5,200,658.10, 7,790,489.55 and 5,200,658.10

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Solution

The fourth proportional to 5,200,658.10, 7,790,489.55 and 5,200,658.10 is: 7,790,489.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200,658.10 : 7,790,489.55 = 5,200,658.10 : x
  2. Step 2: Convert to fraction form
    5,200,658.10/7,790,489.55 = 5,200,658.10/x
  3. Step 3: Cross multiply
    5,200,658.10x = 7,790,489.55 × 5,200,658.10
  4. Step 4: Simplify right side
    5,200,658.10x = 40,515,672,581,172.85
  5. Step 5: Solve for x
    x = 40,515,672,581,172.85/5,200,658.10
  6. Step 6: Final answer
    x = 7,790,489.55

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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.