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Finding the Fourth Proportional to 344,374,861,499.88, 516,562,292,249.85 and 344,374,861,499.88

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Solution

The fourth proportional to 344,374,861,499.88, 516,562,292,249.85 and 344,374,861,499.88 is: 516,562,292,249.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,374,861,499.88 : 516,562,292,249.85 = 344,374,861,499.88 : x
  2. Step 2: Convert to fraction form
    344,374,861,499.88/516,562,292,249.85 = 344,374,861,499.88/x
  3. Step 3: Cross multiply
    344,374,861,499.88x = 516,562,292,249.85 × 344,374,861,499.88
  4. Step 4: Simplify right side
    344,374,861,499.88x = 177,891,067,849,602,620,194,816
  5. Step 5: Solve for x
    x = 177,891,067,849,602,620,194,816/344,374,861,499.88
  6. Step 6: Final answer
    x = 516,562,292,249.85

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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.