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Finding the Fourth Proportional to 408,777,711.90, 613,166,567.85 and 408,777,711.90

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Solution

The fourth proportional to 408,777,711.90, 613,166,567.85 and 408,777,711.90 is: 613,166,567.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,777,711.90 : 613,166,567.85 = 408,777,711.90 : x
  2. Step 2: Convert to fraction form
    408,777,711.90/613,166,567.85 = 408,777,711.90/x
  3. Step 3: Cross multiply
    408,777,711.90x = 613,166,567.85 × 408,777,711.90
  4. Step 4: Simplify right side
    408,777,711.90x = 250,648,826,619,299,104
  5. Step 5: Solve for x
    x = 250,648,826,619,299,104/408,777,711.90
  6. Step 6: Final answer
    x = 613,166,567.85

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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.