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Finding the Fourth Proportional to 332,563,967,998.40, 498,845,951,997.60 and 332,563,967,998.40

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Solution

The fourth proportional to 332,563,967,998.40, 498,845,951,997.60 and 332,563,967,998.40 is: 498,845,951,997.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,563,967,998.40 : 498,845,951,997.60 = 332,563,967,998.40 : x
  2. Step 2: Convert to fraction form
    332,563,967,998.40/498,845,951,997.60 = 332,563,967,998.40/x
  3. Step 3: Cross multiply
    332,563,967,998.40x = 498,845,951,997.60 × 332,563,967,998.40
  4. Step 4: Simplify right side
    332,563,967,998.40x = 165,898,189,216,261,225,840,640
  5. Step 5: Solve for x
    x = 165,898,189,216,261,225,840,640/332,563,967,998.40
  6. Step 6: Final answer
    x = 498,845,951,997.60

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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.