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Finding the Fourth Proportional to 865,754,342.29, 1,194,708,984.76 and 469,268,819.20

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Solution

The fourth proportional to 865,754,342.29, 1,194,708,984.76 and 469,268,819.20 is: 647,573,621.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,754,342.29 : 1,194,708,984.76 = 469,268,819.20 : x
  2. Step 2: Convert to fraction form
    865,754,342.29/1,194,708,984.76 = 469,268,819.20/x
  3. Step 3: Cross multiply
    865,754,342.29x = 1,194,708,984.76 × 469,268,819.20
  4. Step 4: Simplify right side
    865,754,342.29x = 560,639,674,563,937,472
  5. Step 5: Solve for x
    x = 560,639,674,563,937,472/865,754,342.29
  6. Step 6: Final answer
    x = 647,573,621.26

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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.