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Finding the Fourth Proportional to 101,882,493.70, 152,823,740.55 and 101,882,493.70

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Solution

The fourth proportional to 101,882,493.70, 152,823,740.55 and 101,882,493.70 is: 152,823,740.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,882,493.70 : 152,823,740.55 = 101,882,493.70 : x
  2. Step 2: Convert to fraction form
    101,882,493.70/152,823,740.55 = 101,882,493.70/x
  3. Step 3: Cross multiply
    101,882,493.70x = 152,823,740.55 × 101,882,493.70
  4. Step 4: Simplify right side
    101,882,493.70x = 15,570,063,783,795,812
  5. Step 5: Solve for x
    x = 15,570,063,783,795,812/101,882,493.70
  6. Step 6: Final answer
    x = 152,823,740.55

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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.