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Finding the Fourth Proportional to 55,177,401.70, 82,766,102.55 and 55,177,401.70

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Solution

The fourth proportional to 55,177,401.70, 82,766,102.55 and 55,177,401.70 is: 82,766,102.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,177,401.70 : 82,766,102.55 = 55,177,401.70 : x
  2. Step 2: Convert to fraction form
    55,177,401.70/82,766,102.55 = 55,177,401.70/x
  3. Step 3: Cross multiply
    55,177,401.70x = 82,766,102.55 × 55,177,401.70
  4. Step 4: Simplify right side
    55,177,401.70x = 4,566,818,487,544,744
  5. Step 5: Solve for x
    x = 4,566,818,487,544,744/55,177,401.70
  6. Step 6: Final answer
    x = 82,766,102.55

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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.