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Finding the Fourth Proportional to 703,274,847, 970,519,297.50 and 394,225,503

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Solution

The fourth proportional to 703,274,847, 970,519,297.50 and 394,225,503 is: 544,031,198.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,274,847 : 970,519,297.50 = 394,225,503 : x
  2. Step 2: Convert to fraction form
    703,274,847/970,519,297.50 = 394,225,503/x
  3. Step 3: Cross multiply
    703,274,847x = 970,519,297.50 × 394,225,503
  4. Step 4: Simplify right side
    703,274,847x = 382,603,458,228,144,128
  5. Step 5: Solve for x
    x = 382,603,458,228,144,128/703,274,847
  6. Step 6: Final answer
    x = 544,031,198.98

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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.