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Finding the Fourth Proportional to 564,693,769.11, 779,300,829.72 and 313,797,224.10

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Solution

The fourth proportional to 564,693,769.11, 779,300,829.72 and 313,797,224.10 is: 433,053,188.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,693,769.11 : 779,300,829.72 = 313,797,224.10 : x
  2. Step 2: Convert to fraction form
    564,693,769.11/779,300,829.72 = 313,797,224.10/x
  3. Step 3: Cross multiply
    564,693,769.11x = 779,300,829.72 × 313,797,224.10
  4. Step 4: Simplify right side
    564,693,769.11x = 244,542,437,104,962,816
  5. Step 5: Solve for x
    x = 244,542,437,104,962,816/564,693,769.11
  6. Step 6: Final answer
    x = 433,053,188.26

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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.