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Finding the Fourth Proportional to 397,190,998.80, 594,652,757.40 and 397,190,998.80

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Solution

The fourth proportional to 397,190,998.80, 594,652,757.40 and 397,190,998.80 is: 594,652,757.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,190,998.80 : 594,652,757.40 = 397,190,998.80 : x
  2. Step 2: Convert to fraction form
    397,190,998.80/594,652,757.40 = 397,190,998.80/x
  3. Step 3: Cross multiply
    397,190,998.80x = 594,652,757.40 × 397,190,998.80
  4. Step 4: Simplify right side
    397,190,998.80x = 236,190,722,650,880,096
  5. Step 5: Solve for x
    x = 236,190,722,650,880,096/397,190,998.80
  6. Step 6: Final answer
    x = 594,652,757.40

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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.