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Finding the Fourth Proportional to 320,105,138.70, 449,356,517.70 and 320,105,138.70

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Solution

The fourth proportional to 320,105,138.70, 449,356,517.70 and 320,105,138.70 is: 449,356,517.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,105,138.70 : 449,356,517.70 = 320,105,138.70 : x
  2. Step 2: Convert to fraction form
    320,105,138.70/449,356,517.70 = 320,105,138.70/x
  3. Step 3: Cross multiply
    320,105,138.70x = 449,356,517.70 × 320,105,138.70
  4. Step 4: Simplify right side
    320,105,138.70x = 143,841,330,424,107,488
  5. Step 5: Solve for x
    x = 143,841,330,424,107,488/320,105,138.70
  6. Step 6: Final answer
    x = 449,356,517.70

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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.