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Finding the Fourth Proportional to 724,367,009.85, 1,086,550,514.78 and 724,367,009.85

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Solution

The fourth proportional to 724,367,009.85, 1,086,550,514.78 and 724,367,009.85 is: 1,086,550,514.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,367,009.85 : 1,086,550,514.78 = 724,367,009.85 : x
  2. Step 2: Convert to fraction form
    724,367,009.85/1,086,550,514.78 = 724,367,009.85/x
  3. Step 3: Cross multiply
    724,367,009.85x = 1,086,550,514.78 × 724,367,009.85
  4. Step 4: Simplify right side
    724,367,009.85x = 787,061,347,438,545,152
  5. Step 5: Solve for x
    x = 787,061,347,438,545,152/724,367,009.85
  6. Step 6: Final answer
    x = 1,086,550,514.78

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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.