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Finding the Fourth Proportional to 664,945,023.40, 998,425,304.70 and 511,764,044.20

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Solution

The fourth proportional to 664,945,023.40, 998,425,304.70 and 511,764,044.20 is: 768,421,679.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,945,023.40 : 998,425,304.70 = 511,764,044.20 : x
  2. Step 2: Convert to fraction form
    664,945,023.40/998,425,304.70 = 511,764,044.20/x
  3. Step 3: Cross multiply
    664,945,023.40x = 998,425,304.70 × 511,764,044.20
  4. Step 4: Simplify right side
    664,945,023.40x = 510,958,171,764,889,280
  5. Step 5: Solve for x
    x = 510,958,171,764,889,280/664,945,023.40
  6. Step 6: Final answer
    x = 768,421,679.66

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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.