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Finding the Fourth Proportional to 5,924,297.40, 8,305,213.80 and 5,924,297.40

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Solution

The fourth proportional to 5,924,297.40, 8,305,213.80 and 5,924,297.40 is: 8,305,213.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,924,297.40 : 8,305,213.80 = 5,924,297.40 : x
  2. Step 2: Convert to fraction form
    5,924,297.40/8,305,213.80 = 5,924,297.40/x
  3. Step 3: Cross multiply
    5,924,297.40x = 8,305,213.80 × 5,924,297.40
  4. Step 4: Simplify right side
    5,924,297.40x = 49,202,556,521,784.12
  5. Step 5: Solve for x
    x = 49,202,556,521,784.12/5,924,297.40
  6. Step 6: Final answer
    x = 8,305,213.80

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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.