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Finding the Fourth Proportional to 378,902,493.40, 568,353,740.10 and 378,902,493.40

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Solution

The fourth proportional to 378,902,493.40, 568,353,740.10 and 378,902,493.40 is: 568,353,740.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,902,493.40 : 568,353,740.10 = 378,902,493.40 : x
  2. Step 2: Convert to fraction form
    378,902,493.40/568,353,740.10 = 378,902,493.40/x
  3. Step 3: Cross multiply
    378,902,493.40x = 568,353,740.10 × 378,902,493.40
  4. Step 4: Simplify right side
    378,902,493.40x = 215,350,649,257,105,568
  5. Step 5: Solve for x
    x = 215,350,649,257,105,568/378,902,493.40
  6. Step 6: Final answer
    x = 568,353,740.10

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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.