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Finding the Fourth Proportional to 408,737,252.70, 613,105,879.05 and 408,737,252.70

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Solution

The fourth proportional to 408,737,252.70, 613,105,879.05 and 408,737,252.70 is: 613,105,879.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,737,252.70 : 613,105,879.05 = 408,737,252.70 : x
  2. Step 2: Convert to fraction form
    408,737,252.70/613,105,879.05 = 408,737,252.70/x
  3. Step 3: Cross multiply
    408,737,252.70x = 613,105,879.05 × 408,737,252.70
  4. Step 4: Simplify right side
    408,737,252.70x = 250,599,212,617,115,456
  5. Step 5: Solve for x
    x = 250,599,212,617,115,456/408,737,252.70
  6. Step 6: Final answer
    x = 613,105,879.05

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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.