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Finding the Fourth Proportional to 865,754,337.26, 1,194,708,977.70 and 469,268,814.16

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Solution

The fourth proportional to 865,754,337.26, 1,194,708,977.70 and 469,268,814.16 is: 647,573,614.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,754,337.26 : 1,194,708,977.70 = 469,268,814.16 : x
  2. Step 2: Convert to fraction form
    865,754,337.26/1,194,708,977.70 = 469,268,814.16/x
  3. Step 3: Cross multiply
    865,754,337.26x = 1,194,708,977.70 × 469,268,814.16
  4. Step 4: Simplify right side
    865,754,337.26x = 560,639,665,231,584,960
  5. Step 5: Solve for x
    x = 560,639,665,231,584,960/865,754,337.26
  6. Step 6: Final answer
    x = 647,573,614.25

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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.