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Finding the Fourth Proportional to 359,918,489.68, 496,687,994.76 and 194,906,343.76

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Solution

The fourth proportional to 359,918,489.68, 496,687,994.76 and 194,906,343.76 is: 268,971,013.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,918,489.68 : 496,687,994.76 = 194,906,343.76 : x
  2. Step 2: Convert to fraction form
    359,918,489.68/496,687,994.76 = 194,906,343.76/x
  3. Step 3: Cross multiply
    359,918,489.68x = 496,687,994.76 × 194,906,343.76
  4. Step 4: Simplify right side
    359,918,489.68x = 96,807,641,048,157,632
  5. Step 5: Solve for x
    x = 96,807,641,048,157,632/359,918,489.68
  6. Step 6: Final answer
    x = 268,971,013.78

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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.