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Finding the Fourth Proportional to 7,882,014.80, 11,823,022.20 and 7,882,014.80

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Solution

The fourth proportional to 7,882,014.80, 11,823,022.20 and 7,882,014.80 is: 11,823,022.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882,014.80 : 11,823,022.20 = 7,882,014.80 : x
  2. Step 2: Convert to fraction form
    7,882,014.80/11,823,022.20 = 7,882,014.80/x
  3. Step 3: Cross multiply
    7,882,014.80x = 11,823,022.20 × 7,882,014.80
  4. Step 4: Simplify right side
    7,882,014.80x = 93,189,235,961,128.55
  5. Step 5: Solve for x
    x = 93,189,235,961,128.55/7,882,014.80
  6. Step 6: Final answer
    x = 11,823,022.20

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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.