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Finding the Fourth Proportional to 415,079,058.87, 622,619,770.24 and 119,998,200.35

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Solution

The fourth proportional to 415,079,058.87, 622,619,770.24 and 119,998,200.35 is: 179,997,642.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,079,058.87 : 622,619,770.24 = 119,998,200.35 : x
  2. Step 2: Convert to fraction form
    415,079,058.87/622,619,770.24 = 119,998,200.35/x
  3. Step 3: Cross multiply
    415,079,058.87x = 622,619,770.24 × 119,998,200.35
  4. Step 4: Simplify right side
    415,079,058.87x = 74,713,251,928,017,392
  5. Step 5: Solve for x
    x = 74,713,251,928,017,392/415,079,058.87
  6. Step 6: Final answer
    x = 179,997,642.21

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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.