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Finding the Fourth Proportional to 827,328,990.80, 1,141,704,711.96 and 450,977,338.42

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Solution

The fourth proportional to 827,328,990.80, 1,141,704,711.96 and 450,977,338.42 is: 622,343,660.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,328,990.80 : 1,141,704,711.96 = 450,977,338.42 : x
  2. Step 2: Convert to fraction form
    827,328,990.80/1,141,704,711.96 = 450,977,338.42/x
  3. Step 3: Cross multiply
    827,328,990.80x = 1,141,704,711.96 × 450,977,338.42
  4. Step 4: Simplify right side
    827,328,990.80x = 514,882,952,261,293,568
  5. Step 5: Solve for x
    x = 514,882,952,261,293,568/827,328,990.80
  6. Step 6: Final answer
    x = 622,343,660.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.