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Finding the Fourth Proportional to 20,227,956,395,978, 27,914,600,485,725 and 10,978,942,603,223

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Solution

The fourth proportional to 20,227,956,395,978, 27,914,600,485,725 and 10,978,942,603,223 is: 15,150,952,005,493.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,227,956,395,978 : 27,914,600,485,725 = 10,978,942,603,223 : x
  2. Step 2: Convert to fraction form
    20,227,956,395,978/27,914,600,485,725 = 10,978,942,603,223/x
  3. Step 3: Cross multiply
    20,227,956,395,978x = 27,914,600,485,725 × 10,978,942,603,223
  4. Step 4: Simplify right side
    20,227,956,395,978x = 306,472,796,524,675,638,449,143,808
  5. Step 5: Solve for x
    x = 306,472,796,524,675,638,449,143,808/20,227,956,395,978
  6. Step 6: Final answer
    x = 15,150,952,005,493.39

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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.