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Finding the Fourth Proportional to 332,563,968,000.78, 498,845,952,001.17 and 332,563,968,000.78

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Solution

The fourth proportional to 332,563,968,000.78, 498,845,952,001.17 and 332,563,968,000.78 is: 498,845,952,001.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,563,968,000.78 : 498,845,952,001.17 = 332,563,968,000.78 : x
  2. Step 2: Convert to fraction form
    332,563,968,000.78/498,845,952,001.17 = 332,563,968,000.78/x
  3. Step 3: Cross multiply
    332,563,968,000.78x = 498,845,952,001.17 × 332,563,968,000.78
  4. Step 4: Simplify right side
    332,563,968,000.78x = 165,898,189,218,635,738,775,552
  5. Step 5: Solve for x
    x = 165,898,189,218,635,738,775,552/332,563,968,000.78
  6. Step 6: Final answer
    x = 498,845,952,001.17

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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.