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Finding the Fourth Proportional to 650,665,698.86, 897,694,200.25 and 415,853,807.42

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Solution

The fourth proportional to 650,665,698.86, 897,694,200.25 and 415,853,807.42 is: 573,734,794.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,665,698.86 : 897,694,200.25 = 415,853,807.42 : x
  2. Step 2: Convert to fraction form
    650,665,698.86/897,694,200.25 = 415,853,807.42/x
  3. Step 3: Cross multiply
    650,665,698.86x = 897,694,200.25 × 415,853,807.42
  4. Step 4: Simplify right side
    650,665,698.86x = 373,309,551,074,019,008
  5. Step 5: Solve for x
    x = 373,309,551,074,019,008/650,665,698.86
  6. Step 6: Final answer
    x = 573,734,794.58

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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.