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Finding the Fourth Proportional to 7,847,999.90, 11,012,394.10 and 7,847,999.90

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Solution

The fourth proportional to 7,847,999.90, 11,012,394.10 and 7,847,999.90 is: 11,012,394.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847,999.90 : 11,012,394.10 = 7,847,999.90 : x
  2. Step 2: Convert to fraction form
    7,847,999.90/11,012,394.10 = 7,847,999.90/x
  3. Step 3: Cross multiply
    7,847,999.90x = 11,012,394.10 × 7,847,999.90
  4. Step 4: Simplify right side
    7,847,999.90x = 86,425,267,795,560.59
  5. Step 5: Solve for x
    x = 86,425,267,795,560.59/7,847,999.90
  6. Step 6: Final answer
    x = 11,012,394.10

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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.