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Finding the Fourth Proportional to 144,818,508,743.45, 217,227,763,115.18 and 144,818,508,743.45

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Solution

The fourth proportional to 144,818,508,743.45, 217,227,763,115.18 and 144,818,508,743.45 is: 217,227,763,115.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,818,508,743.45 : 217,227,763,115.18 = 144,818,508,743.45 : x
  2. Step 2: Convert to fraction form
    144,818,508,743.45/217,227,763,115.18 = 144,818,508,743.45/x
  3. Step 3: Cross multiply
    144,818,508,743.45x = 217,227,763,115.18 × 144,818,508,743.45
  4. Step 4: Simplify right side
    144,818,508,743.45x = 31,458,600,712,015,781,560,320
  5. Step 5: Solve for x
    x = 31,458,600,712,015,781,560,320/144,818,508,743.45
  6. Step 6: Final answer
    x = 217,227,763,115.18

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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.