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Finding the Fourth Proportional to 865,754,327.77, 1,194,708,964.61 and 469,268,804.66

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Solution

The fourth proportional to 865,754,327.77, 1,194,708,964.61 and 469,268,804.66 is: 647,573,601.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,754,327.77 : 1,194,708,964.61 = 469,268,804.66 : x
  2. Step 2: Convert to fraction form
    865,754,327.77/1,194,708,964.61 = 469,268,804.66/x
  3. Step 3: Cross multiply
    865,754,327.77x = 1,194,708,964.61 × 469,268,804.66
  4. Step 4: Simplify right side
    865,754,327.77x = 560,639,647,734,320,512
  5. Step 5: Solve for x
    x = 560,639,647,734,320,512/865,754,327.77
  6. Step 6: Final answer
    x = 647,573,601.14

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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.