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Finding the Fourth Proportional to 882,956,127.84, 1,218,517,046.64 and 491,815,724.64

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Solution

The fourth proportional to 882,956,127.84, 1,218,517,046.64 and 491,815,724.64 is: 678,726,638.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    882,956,127.84 : 1,218,517,046.64 = 491,815,724.64 : x
  2. Step 2: Convert to fraction form
    882,956,127.84/1,218,517,046.64 = 491,815,724.64/x
  3. Step 3: Cross multiply
    882,956,127.84x = 1,218,517,046.64 × 491,815,724.64
  4. Step 4: Simplify right side
    882,956,127.84x = 599,285,844,279,444,352
  5. Step 5: Solve for x
    x = 599,285,844,279,444,352/882,956,127.84
  6. Step 6: Final answer
    x = 678,726,638.15

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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.