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Finding the Fourth Proportional to 22,804,419,612.70, 31,969,723,104.50 and 22,804,419,612.70

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Solution

The fourth proportional to 22,804,419,612.70, 31,969,723,104.50 and 22,804,419,612.70 is: 31,969,723,104.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,804,419,612.70 : 31,969,723,104.50 = 22,804,419,612.70 : x
  2. Step 2: Convert to fraction form
    22,804,419,612.70/31,969,723,104.50 = 22,804,419,612.70/x
  3. Step 3: Cross multiply
    22,804,419,612.70x = 31,969,723,104.50 × 22,804,419,612.70
  4. Step 4: Simplify right side
    22,804,419,612.70x = 729,050,980,576,848,117,760
  5. Step 5: Solve for x
    x = 729,050,980,576,848,117,760/22,804,419,612.70
  6. Step 6: Final answer
    x = 31,969,723,104.50

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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.