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Finding the Fourth Proportional to 865,754,424.68, 1,194,709,097.96 and 469,268,901.31

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Solution

The fourth proportional to 865,754,424.68, 1,194,709,097.96 and 469,268,901.31 is: 647,573,734.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,754,424.68 : 1,194,709,097.96 = 469,268,901.31 : x
  2. Step 2: Convert to fraction form
    865,754,424.68/1,194,709,097.96 = 469,268,901.31/x
  3. Step 3: Cross multiply
    865,754,424.68x = 1,194,709,097.96 × 469,268,901.31
  4. Step 4: Simplify right side
    865,754,424.68x = 560,639,825,782,403,968
  5. Step 5: Solve for x
    x = 560,639,825,782,403,968/865,754,424.68
  6. Step 6: Final answer
    x = 647,573,734.30

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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.