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Finding the Fourth Proportional to 5,215,064.10, 7,822,596.15 and 5,215,064.10

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Solution

The fourth proportional to 5,215,064.10, 7,822,596.15 and 5,215,064.10 is: 7,822,596.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215,064.10 : 7,822,596.15 = 5,215,064.10 : x
  2. Step 2: Convert to fraction form
    5,215,064.10/7,822,596.15 = 5,215,064.10/x
  3. Step 3: Cross multiply
    5,215,064.10x = 7,822,596.15 × 5,215,064.10
  4. Step 4: Simplify right side
    5,215,064.10x = 40,795,340,350,663.21
  5. Step 5: Solve for x
    x = 40,795,340,350,663.21/5,215,064.10
  6. Step 6: Final answer
    x = 7,822,596.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.