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Finding the Fourth Proportional to 5,432,866.65, 8,149,299.98 and 5,432,866.65

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Solution

The fourth proportional to 5,432,866.65, 8,149,299.98 and 5,432,866.65 is: 8,149,299.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,432,866.65 : 8,149,299.98 = 5,432,866.65 : x
  2. Step 2: Convert to fraction form
    5,432,866.65/8,149,299.98 = 5,432,866.65/x
  3. Step 3: Cross multiply
    5,432,866.65x = 8,149,299.98 × 5,432,866.65
  4. Step 4: Simplify right side
    5,432,866.65x = 44,274,060,055,023.34
  5. Step 5: Solve for x
    x = 44,274,060,055,023.34/5,432,866.65
  6. Step 6: Final answer
    x = 8,149,299.98

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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.