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Finding the Fourth Proportional to 5,872,816.80, 8,240,839.20 and 5,872,816.80

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Solution

The fourth proportional to 5,872,816.80, 8,240,839.20 and 5,872,816.80 is: 8,240,839.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872,816.80 : 8,240,839.20 = 5,872,816.80 : x
  2. Step 2: Convert to fraction form
    5,872,816.80/8,240,839.20 = 5,872,816.80/x
  3. Step 3: Cross multiply
    5,872,816.80x = 8,240,839.20 × 5,872,816.80
  4. Step 4: Simplify right side
    5,872,816.80x = 48,396,938,899,858.56
  5. Step 5: Solve for x
    x = 48,396,938,899,858.56/5,872,816.80
  6. Step 6: Final answer
    x = 8,240,839.20

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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.