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Finding the Fourth Proportional to 408,147,304,003.20, 612,220,956,004.80 and 408,147,304,003.20

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Solution

The fourth proportional to 408,147,304,003.20, 612,220,956,004.80 and 408,147,304,003.20 is: 612,220,956,004.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,147,304,003.20 : 612,220,956,004.80 = 408,147,304,003.20 : x
  2. Step 2: Convert to fraction form
    408,147,304,003.20/612,220,956,004.80 = 408,147,304,003.20/x
  3. Step 3: Cross multiply
    408,147,304,003.20x = 612,220,956,004.80 × 408,147,304,003.20
  4. Step 4: Simplify right side
    408,147,304,003.20x = 249,876,332,647,620,850,745,344
  5. Step 5: Solve for x
    x = 249,876,332,647,620,850,745,344/408,147,304,003.20
  6. Step 6: Final answer
    x = 612,220,956,004.80

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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.