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Finding the Fourth Proportional to 22,804,419,614.70, 31,969,723,107.30 and 22,804,419,614.70

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Solution

The fourth proportional to 22,804,419,614.70, 31,969,723,107.30 and 22,804,419,614.70 is: 31,969,723,107.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,804,419,614.70 : 31,969,723,107.30 = 22,804,419,614.70 : x
  2. Step 2: Convert to fraction form
    22,804,419,614.70/31,969,723,107.30 = 22,804,419,614.70/x
  3. Step 3: Cross multiply
    22,804,419,614.70x = 31,969,723,107.30 × 22,804,419,614.70
  4. Step 4: Simplify right side
    22,804,419,614.70x = 729,050,980,704,639,909,888
  5. Step 5: Solve for x
    x = 729,050,980,704,639,909,888/22,804,419,614.70
  6. Step 6: Final answer
    x = 31,969,723,107.30

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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.