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Finding the Fourth Proportional to 7,732,229,654.40, 11,598,344,481.60 and 7,732,229,654.40

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Solution

The fourth proportional to 7,732,229,654.40, 11,598,344,481.60 and 7,732,229,654.40 is: 11,598,344,481.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732,229,654.40 : 11,598,344,481.60 = 7,732,229,654.40 : x
  2. Step 2: Convert to fraction form
    7,732,229,654.40/11,598,344,481.60 = 7,732,229,654.40/x
  3. Step 3: Cross multiply
    7,732,229,654.40x = 11,598,344,481.60 × 7,732,229,654.40
  4. Step 4: Simplify right side
    7,732,229,654.40x = 89,681,063,142,574,112,768
  5. Step 5: Solve for x
    x = 89,681,063,142,574,112,768/7,732,229,654.40
  6. Step 6: Final answer
    x = 11,598,344,481.60

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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.