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Finding the Fourth Proportional to 766,656,892.14, 1,057,986,513.18 and 414,232,882.86

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Solution

The fourth proportional to 766,656,892.14, 1,057,986,513.18 and 414,232,882.86 is: 571,641,379.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,656,892.14 : 1,057,986,513.18 = 414,232,882.86 : x
  2. Step 2: Convert to fraction form
    766,656,892.14/1,057,986,513.18 = 414,232,882.86/x
  3. Step 3: Cross multiply
    766,656,892.14x = 1,057,986,513.18 × 414,232,882.86
  4. Step 4: Simplify right side
    766,656,892.14x = 438,252,803,379,359,232
  5. Step 5: Solve for x
    x = 438,252,803,379,359,232/766,656,892.14
  6. Step 6: Final answer
    x = 571,641,379.44

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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.