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Finding the Fourth Proportional to 731,591,847.73, 1,009,597,749.65 and 397,064,375.33

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Solution

The fourth proportional to 731,591,847.73, 1,009,597,749.65 and 397,064,375.33 is: 547,949,380.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,591,847.73 : 1,009,597,749.65 = 397,064,375.33 : x
  2. Step 2: Convert to fraction form
    731,591,847.73/1,009,597,749.65 = 397,064,375.33/x
  3. Step 3: Cross multiply
    731,591,847.73x = 1,009,597,749.65 × 397,064,375.33
  4. Step 4: Simplify right side
    731,591,847.73x = 400,875,299,793,826,496
  5. Step 5: Solve for x
    x = 400,875,299,793,826,496/731,591,847.73
  6. Step 6: Final answer
    x = 547,949,380.57

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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.