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Finding the Fourth Proportional to 327,560,233,513.22, 491,340,350,269.83 and 327,560,233,513.22

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Solution

The fourth proportional to 327,560,233,513.22, 491,340,350,269.83 and 327,560,233,513.22 is: 491,340,350,269.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,560,233,513.22 : 491,340,350,269.83 = 327,560,233,513.22 : x
  2. Step 2: Convert to fraction form
    327,560,233,513.22/491,340,350,269.83 = 327,560,233,513.22/x
  3. Step 3: Cross multiply
    327,560,233,513.22x = 491,340,350,269.83 × 327,560,233,513.22
  4. Step 4: Simplify right side
    327,560,233,513.22x = 160,943,559,868,852,811,595,776
  5. Step 5: Solve for x
    x = 160,943,559,868,852,811,595,776/327,560,233,513.22
  6. Step 6: Final answer
    x = 491,340,350,269.83

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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.