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Finding the Fourth Proportional to 7,847,999.40, 11,012,393.40 and 7,847,999.40

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Solution

The fourth proportional to 7,847,999.40, 11,012,393.40 and 7,847,999.40 is: 11,012,393.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847,999.40 : 11,012,393.40 = 7,847,999.40 : x
  2. Step 2: Convert to fraction form
    7,847,999.40/11,012,393.40 = 7,847,999.40/x
  3. Step 3: Cross multiply
    7,847,999.40x = 11,012,393.40 × 7,847,999.40
  4. Step 4: Simplify right side
    7,847,999.40x = 86,425,256,795,763.97
  5. Step 5: Solve for x
    x = 86,425,256,795,763.97/7,847,999.40
  6. Step 6: Final answer
    x = 11,012,393.40

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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.