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Finding the Fourth Proportional to 762,575,423.90, 1,143,863,135.85 and 762,575,423.90

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Solution

The fourth proportional to 762,575,423.90, 1,143,863,135.85 and 762,575,423.90 is: 1,143,863,135.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,575,423.90 : 1,143,863,135.85 = 762,575,423.90 : x
  2. Step 2: Convert to fraction form
    762,575,423.90/1,143,863,135.85 = 762,575,423.90/x
  3. Step 3: Cross multiply
    762,575,423.90x = 1,143,863,135.85 × 762,575,423.90
  4. Step 4: Simplify right side
    762,575,423.90x = 872,281,915,704,396,928
  5. Step 5: Solve for x
    x = 872,281,915,704,396,928/762,575,423.90
  6. Step 6: Final answer
    x = 1,143,863,135.85

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Why These Related Problems?

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