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Finding the Fourth Proportional to 865,754,335.26, 1,194,708,974.94 and 469,268,812.16

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Solution

The fourth proportional to 865,754,335.26, 1,194,708,974.94 and 469,268,812.16 is: 647,573,611.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,754,335.26 : 1,194,708,974.94 = 469,268,812.16 : x
  2. Step 2: Convert to fraction form
    865,754,335.26/1,194,708,974.94 = 469,268,812.16/x
  3. Step 3: Cross multiply
    865,754,335.26x = 1,194,708,974.94 × 469,268,812.16
  4. Step 4: Simplify right side
    865,754,335.26x = 560,639,661,541,011,456
  5. Step 5: Solve for x
    x = 560,639,661,541,011,456/865,754,335.26
  6. Step 6: Final answer
    x = 647,573,611.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.