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Finding the Fourth Proportional to 865,754,425.43, 1,194,709,098.99 and 469,268,902.06

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Solution

The fourth proportional to 865,754,425.43, 1,194,709,098.99 and 469,268,902.06 is: 647,573,735.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,754,425.43 : 1,194,709,098.99 = 469,268,902.06 : x
  2. Step 2: Convert to fraction form
    865,754,425.43/1,194,709,098.99 = 469,268,902.06/x
  3. Step 3: Cross multiply
    865,754,425.43x = 1,194,709,098.99 × 469,268,902.06
  4. Step 4: Simplify right side
    865,754,425.43x = 560,639,827,164,129,152
  5. Step 5: Solve for x
    x = 560,639,827,164,129,152/865,754,425.43
  6. Step 6: Final answer
    x = 647,573,735.34

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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.