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Finding the Fourth Proportional to 590,897,902.46, 815,540,362.62 and 343,522,745.78

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Solution

The fourth proportional to 590,897,902.46, 815,540,362.62 and 343,522,745.78 is: 474,120,255.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,897,902.46 : 815,540,362.62 = 343,522,745.78 : x
  2. Step 2: Convert to fraction form
    590,897,902.46/815,540,362.62 = 343,522,745.78/x
  3. Step 3: Cross multiply
    590,897,902.46x = 815,540,362.62 × 343,522,745.78
  4. Step 4: Simplify right side
    590,897,902.46x = 280,156,664,661,639,264
  5. Step 5: Solve for x
    x = 280,156,664,661,639,264/590,897,902.46
  6. Step 6: Final answer
    x = 474,120,255.79

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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.