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Finding the Fourth Proportional to 266,142,757.80, 399,214,136.70 and 266,142,757.80

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Solution

The fourth proportional to 266,142,757.80, 399,214,136.70 and 266,142,757.80 is: 399,214,136.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,142,757.80 : 399,214,136.70 = 266,142,757.80 : x
  2. Step 2: Convert to fraction form
    266,142,757.80/399,214,136.70 = 266,142,757.80/x
  3. Step 3: Cross multiply
    266,142,757.80x = 399,214,136.70 × 266,142,757.80
  4. Step 4: Simplify right side
    266,142,757.80x = 106,247,951,294,084,192
  5. Step 5: Solve for x
    x = 106,247,951,294,084,192/266,142,757.80
  6. Step 6: Final answer
    x = 399,214,136.70

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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.