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Finding the Fourth Proportional to 865,754,333.76, 1,194,708,972.87 and 469,268,810.66

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Solution

The fourth proportional to 865,754,333.76, 1,194,708,972.87 and 469,268,810.66 is: 647,573,609.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,754,333.76 : 1,194,708,972.87 = 469,268,810.66 : x
  2. Step 2: Convert to fraction form
    865,754,333.76/1,194,708,972.87 = 469,268,810.66/x
  3. Step 3: Cross multiply
    865,754,333.76x = 1,194,708,972.87 × 469,268,810.66
  4. Step 4: Simplify right side
    865,754,333.76x = 560,639,658,777,561,472
  5. Step 5: Solve for x
    x = 560,639,658,777,561,472/865,754,333.76
  6. Step 6: Final answer
    x = 647,573,609.41

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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.