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Finding the Fourth Proportional to 6,601,836,699.60, 9,902,755,049.40 and 6,601,836,699.60

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Solution

The fourth proportional to 6,601,836,699.60, 9,902,755,049.40 and 6,601,836,699.60 is: 9,902,755,049.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,601,836,699.60 : 9,902,755,049.40 = 6,601,836,699.60 : x
  2. Step 2: Convert to fraction form
    6,601,836,699.60/9,902,755,049.40 = 6,601,836,699.60/x
  3. Step 3: Cross multiply
    6,601,836,699.60x = 9,902,755,049.40 × 6,601,836,699.60
  4. Step 4: Simplify right side
    6,601,836,699.60x = 65,376,371,712,278,134,784
  5. Step 5: Solve for x
    x = 65,376,371,712,278,134,784/6,601,836,699.60
  6. Step 6: Final answer
    x = 9,902,755,049.40

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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.