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Finding the Fourth Proportional to 1,584,251,607.12, 2,375,408,859.30 and 755,458,738.80

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Solution

The fourth proportional to 1,584,251,607.12, 2,375,408,859.30 and 755,458,738.80 is: 1,132,726,249.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584,251,607.12 : 2,375,408,859.30 = 755,458,738.80 : x
  2. Step 2: Convert to fraction form
    1,584,251,607.12/2,375,408,859.30 = 755,458,738.80/x
  3. Step 3: Cross multiply
    1,584,251,607.12x = 2,375,408,859.30 × 755,458,738.80
  4. Step 4: Simplify right side
    1,584,251,607.12x = 1,794,523,380,972,217,088
  5. Step 5: Solve for x
    x = 1,794,523,380,972,217,088/1,584,251,607.12
  6. Step 6: Final answer
    x = 1,132,726,249.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.