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Finding the Fourth Proportional to 415,255,269.70, 622,882,904.55 and 415,255,269.70

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Solution

The fourth proportional to 415,255,269.70, 622,882,904.55 and 415,255,269.70 is: 622,882,904.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,255,269.70 : 622,882,904.55 = 415,255,269.70 : x
  2. Step 2: Convert to fraction form
    415,255,269.70/622,882,904.55 = 415,255,269.70/x
  3. Step 3: Cross multiply
    415,255,269.70x = 622,882,904.55 × 415,255,269.70
  4. Step 4: Simplify right side
    415,255,269.70x = 258,655,408,520,429,568
  5. Step 5: Solve for x
    x = 258,655,408,520,429,568/415,255,269.70
  6. Step 6: Final answer
    x = 622,882,904.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.