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Finding the Fourth Proportional to 144,818,508,738.45, 217,227,763,107.68 and 144,818,508,738.45

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Solution

The fourth proportional to 144,818,508,738.45, 217,227,763,107.68 and 144,818,508,738.45 is: 217,227,763,107.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,818,508,738.45 : 217,227,763,107.68 = 144,818,508,738.45 : x
  2. Step 2: Convert to fraction form
    144,818,508,738.45/217,227,763,107.68 = 144,818,508,738.45/x
  3. Step 3: Cross multiply
    144,818,508,738.45x = 217,227,763,107.68 × 144,818,508,738.45
  4. Step 4: Simplify right side
    144,818,508,738.45x = 31,458,600,709,843,505,381,376
  5. Step 5: Solve for x
    x = 31,458,600,709,843,505,381,376/144,818,508,738.45
  6. Step 6: Final answer
    x = 217,227,763,107.68

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1.5x scale

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.