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Finding the Fourth Proportional to 327,560,283,000.03, 491,340,424,500.03 and 327,560,283,000.03

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Solution

The fourth proportional to 327,560,283,000.03, 491,340,424,500.03 and 327,560,283,000.03 is: 491,340,424,500.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,560,283,000.03 : 491,340,424,500.03 = 327,560,283,000.03 : x
  2. Step 2: Convert to fraction form
    327,560,283,000.03/491,340,424,500.03 = 327,560,283,000.03/x
  3. Step 3: Cross multiply
    327,560,283,000.03x = 491,340,424,500.03 × 327,560,283,000.03
  4. Step 4: Simplify right side
    327,560,283,000.03x = 160,943,608,498,584,721,293,312
  5. Step 5: Solve for x
    x = 160,943,608,498,584,721,293,312/327,560,283,000.03
  6. Step 6: Final answer
    x = 491,340,424,500.03

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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.