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Finding the Fourth Proportional to 347,681,241,033.90, 521,521,861,550.85 and 347,681,241,033.90

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Solution

The fourth proportional to 347,681,241,033.90, 521,521,861,550.85 and 347,681,241,033.90 is: 521,521,861,550.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,681,241,033.90 : 521,521,861,550.85 = 347,681,241,033.90 : x
  2. Step 2: Convert to fraction form
    347,681,241,033.90/521,521,861,550.85 = 347,681,241,033.90/x
  3. Step 3: Cross multiply
    347,681,241,033.90x = 521,521,861,550.85 × 347,681,241,033.90
  4. Step 4: Simplify right side
    347,681,241,033.90x = 181,323,368,050,309,306,777,600
  5. Step 5: Solve for x
    x = 181,323,368,050,309,306,777,600/347,681,241,033.90
  6. Step 6: Final answer
    x = 521,521,861,550.85

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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.