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Finding the Fourth Proportional to 327,446,437,999.90, 491,169,656,999.83 and 327,446,437,999.90

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Solution

The fourth proportional to 327,446,437,999.90, 491,169,656,999.83 and 327,446,437,999.90 is: 491,169,656,999.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,446,437,999.90 : 491,169,656,999.83 = 327,446,437,999.90 : x
  2. Step 2: Convert to fraction form
    327,446,437,999.90/491,169,656,999.83 = 327,446,437,999.90/x
  3. Step 3: Cross multiply
    327,446,437,999.90x = 491,169,656,999.83 × 327,446,437,999.90
  4. Step 4: Simplify right side
    327,446,437,999.90x = 160,831,754,638,227,002,097,664
  5. Step 5: Solve for x
    x = 160,831,754,638,227,002,097,664/327,446,437,999.90
  6. Step 6: Final answer
    x = 491,169,656,999.83

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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.