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Finding the Fourth Proportional to 8,270,999.10, 12,378,505.05 and 8,270,999.10

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Solution

The fourth proportional to 8,270,999.10, 12,378,505.05 and 8,270,999.10 is: 12,378,505.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,270,999.10 : 12,378,505.05 = 8,270,999.10 : x
  2. Step 2: Convert to fraction form
    8,270,999.10/12,378,505.05 = 8,270,999.10/x
  3. Step 3: Cross multiply
    8,270,999.10x = 12,378,505.05 × 8,270,999.10
  4. Step 4: Simplify right side
    8,270,999.10x = 102,382,604,127,895.45
  5. Step 5: Solve for x
    x = 102,382,604,127,895.45/8,270,999.10
  6. Step 6: Final answer
    x = 12,378,505.05

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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.