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Finding the Fourth Proportional to 694,459,993.67, 957,918,863.66 and 412,002,460.58

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Solution

The fourth proportional to 694,459,993.67, 957,918,863.66 and 412,002,460.58 is: 568,304,772.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,459,993.67 : 957,918,863.66 = 412,002,460.58 : x
  2. Step 2: Convert to fraction form
    694,459,993.67/957,918,863.66 = 412,002,460.58/x
  3. Step 3: Cross multiply
    694,459,993.67x = 957,918,863.66 × 412,002,460.58
  4. Step 4: Simplify right side
    694,459,993.67x = 394,664,928,864,787,520
  5. Step 5: Solve for x
    x = 394,664,928,864,787,520/694,459,993.67
  6. Step 6: Final answer
    x = 568,304,772.72

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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.