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Finding the Fourth Proportional to 724,497,661.20, 1,086,746,491.80 and 724,497,661.20

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Solution

The fourth proportional to 724,497,661.20, 1,086,746,491.80 and 724,497,661.20 is: 1,086,746,491.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,497,661.20 : 1,086,746,491.80 = 724,497,661.20 : x
  2. Step 2: Convert to fraction form
    724,497,661.20/1,086,746,491.80 = 724,497,661.20/x
  3. Step 3: Cross multiply
    724,497,661.20x = 1,086,746,491.80 × 724,497,661.20
  4. Step 4: Simplify right side
    724,497,661.20x = 787,345,291,626,404,992
  5. Step 5: Solve for x
    x = 787,345,291,626,404,992/724,497,661.20
  6. Step 6: Final answer
    x = 1,086,746,491.80

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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.