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Finding the Fourth Proportional to 4,096,729.80, 5,743,819.80 and 4,096,729.80

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Solution

The fourth proportional to 4,096,729.80, 5,743,819.80 and 4,096,729.80 is: 5,743,819.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096,729.80 : 5,743,819.80 = 4,096,729.80 : x
  2. Step 2: Convert to fraction form
    4,096,729.80/5,743,819.80 = 4,096,729.80/x
  3. Step 3: Cross multiply
    4,096,729.80x = 5,743,819.80 × 4,096,729.80
  4. Step 4: Simplify right side
    4,096,729.80x = 23,530,877,740,490.04
  5. Step 5: Solve for x
    x = 23,530,877,740,490.04/4,096,729.80
  6. Step 6: Final answer
    x = 5,743,819.80

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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.