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Finding the Fourth Proportional to 713,676,566.88, 984,858,167.52 and 412,262,127.36

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Solution

The fourth proportional to 713,676,566.88, 984,858,167.52 and 412,262,127.36 is: 568,912,785.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,676,566.88 : 984,858,167.52 = 412,262,127.36 : x
  2. Step 2: Convert to fraction form
    713,676,566.88/984,858,167.52 = 412,262,127.36/x
  3. Step 3: Cross multiply
    713,676,566.88x = 984,858,167.52 × 412,262,127.36
  4. Step 4: Simplify right side
    713,676,566.88x = 406,019,723,289,666,432
  5. Step 5: Solve for x
    x = 406,019,723,289,666,432/713,676,566.88
  6. Step 6: Final answer
    x = 568,912,785.05

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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.