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Finding the Fourth Proportional to 664,945,024.40, 998,425,306.20 and 511,764,045.20

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Solution

The fourth proportional to 664,945,024.40, 998,425,306.20 and 511,764,045.20 is: 768,421,681.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,945,024.40 : 998,425,306.20 = 511,764,045.20 : x
  2. Step 2: Convert to fraction form
    664,945,024.40/998,425,306.20 = 511,764,045.20/x
  3. Step 3: Cross multiply
    664,945,024.40x = 998,425,306.20 × 511,764,045.20
  4. Step 4: Simplify right side
    664,945,024.40x = 510,958,173,530,960,640
  5. Step 5: Solve for x
    x = 510,958,173,530,960,640/664,945,024.40
  6. Step 6: Final answer
    x = 768,421,681.16

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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.