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Finding the Fourth Proportional to 22,804,419,385.20, 31,969,722,786 and 22,804,419,385.20

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Solution

The fourth proportional to 22,804,419,385.20, 31,969,722,786 and 22,804,419,385.20 is: 31,969,722,786

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,804,419,385.20 : 31,969,722,786 = 22,804,419,385.20 : x
  2. Step 2: Convert to fraction form
    22,804,419,385.20/31,969,722,786 = 22,804,419,385.20/x
  3. Step 3: Cross multiply
    22,804,419,385.20x = 31,969,722,786 × 22,804,419,385.20
  4. Step 4: Simplify right side
    22,804,419,385.20x = 729,050,966,040,528,551,936
  5. Step 5: Solve for x
    x = 729,050,966,040,528,551,936/22,804,419,385.20
  6. Step 6: Final answer
    x = 31,969,722,786

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.