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Finding the Fourth Proportional to 2,358,978,163.80, 3,538,467,245.70 and 2,213,575,906.20

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Solution

The fourth proportional to 2,358,978,163.80, 3,538,467,245.70 and 2,213,575,906.20 is: 3,320,363,859.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358,978,163.80 : 3,538,467,245.70 = 2,213,575,906.20 : x
  2. Step 2: Convert to fraction form
    2,358,978,163.80/3,538,467,245.70 = 2,213,575,906.20/x
  3. Step 3: Cross multiply
    2,358,978,163.80x = 3,538,467,245.70 × 2,213,575,906.20
  4. Step 4: Simplify right side
    2,358,978,163.80x = 7,832,665,839,959,394,304
  5. Step 5: Solve for x
    x = 7,832,665,839,959,394,304/2,358,978,163.80
  6. Step 6: Final answer
    x = 3,320,363,859.30

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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.