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Finding the Fourth Proportional to 2,469,192,983,998.70, 3,703,789,475,998.10 and 2,469,192,983,998.70

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Solution

The fourth proportional to 2,469,192,983,998.70, 3,703,789,475,998.10 and 2,469,192,983,998.70 is: 3,703,789,475,998.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469,192,983,998.70 : 3,703,789,475,998.10 = 2,469,192,983,998.70 : x
  2. Step 2: Convert to fraction form
    2,469,192,983,998.70/3,703,789,475,998.10 = 2,469,192,983,998.70/x
  3. Step 3: Cross multiply
    2,469,192,983,998.70x = 3,703,789,475,998.10 × 2,469,192,983,998.70
  4. Step 4: Simplify right side
    2,469,192,983,998.70x = 9,145,370,988,342,731,440,390,144
  5. Step 5: Solve for x
    x = 9,145,370,988,342,731,440,390,144/2,469,192,983,998.70
  6. Step 6: Final answer
    x = 3,703,789,475,998.10

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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.