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Finding the Fourth Proportional to 917,999,613.94, 1,266,884,414.84 and 516,239,805.20

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Solution

The fourth proportional to 917,999,613.94, 1,266,884,414.84 and 516,239,805.20 is: 712,436,207.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,999,613.94 : 1,266,884,414.84 = 516,239,805.20 : x
  2. Step 2: Convert to fraction form
    917,999,613.94/1,266,884,414.84 = 516,239,805.20/x
  3. Step 3: Cross multiply
    917,999,613.94x = 1,266,884,414.84 × 516,239,805.20
  4. Step 4: Simplify right side
    917,999,613.94x = 654,016,163,527,917,568
  5. Step 5: Solve for x
    x = 654,016,163,527,917,568/917,999,613.94
  6. Step 6: Final answer
    x = 712,436,207.59

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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.