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Finding the Fourth Proportional to 344,738,809.20, 517,108,213.80 and 344,738,809.20

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Solution

The fourth proportional to 344,738,809.20, 517,108,213.80 and 344,738,809.20 is: 517,108,213.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,738,809.20 : 517,108,213.80 = 344,738,809.20 : x
  2. Step 2: Convert to fraction form
    344,738,809.20/517,108,213.80 = 344,738,809.20/x
  3. Step 3: Cross multiply
    344,738,809.20x = 517,108,213.80 × 344,738,809.20
  4. Step 4: Simplify right side
    344,738,809.20x = 178,267,269,852,951,008
  5. Step 5: Solve for x
    x = 178,267,269,852,951,008/344,738,809.20
  6. Step 6: Final answer
    x = 517,108,213.80

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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.