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Finding the Fourth Proportional to 865,754,425.94, 1,194,709,099.68 and 469,268,902.56

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Solution

The fourth proportional to 865,754,425.94, 1,194,709,099.68 and 469,268,902.56 is: 647,573,736.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,754,425.94 : 1,194,709,099.68 = 469,268,902.56 : x
  2. Step 2: Convert to fraction form
    865,754,425.94/1,194,709,099.68 = 469,268,902.56/x
  3. Step 3: Cross multiply
    865,754,425.94x = 1,194,709,099.68 × 469,268,902.56
  4. Step 4: Simplify right side
    865,754,425.94x = 560,639,828,085,279,296
  5. Step 5: Solve for x
    x = 560,639,828,085,279,296/865,754,425.94
  6. Step 6: Final answer
    x = 647,573,736.03

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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.