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Finding the Fourth Proportional to 106,930,474,857.20, 160,395,712,285.80 and 106,930,474,857.20

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Solution

The fourth proportional to 106,930,474,857.20, 160,395,712,285.80 and 106,930,474,857.20 is: 160,395,712,285.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,930,474,857.20 : 160,395,712,285.80 = 106,930,474,857.20 : x
  2. Step 2: Convert to fraction form
    106,930,474,857.20/160,395,712,285.80 = 106,930,474,857.20/x
  3. Step 3: Cross multiply
    106,930,474,857.20x = 160,395,712,285.80 × 106,930,474,857.20
  4. Step 4: Simplify right side
    106,930,474,857.20x = 17,151,189,679,779,419,783,168
  5. Step 5: Solve for x
    x = 17,151,189,679,779,419,783,168/106,930,474,857.20
  6. Step 6: Final answer
    x = 160,395,712,285.80

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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.