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Finding the Fourth Proportional to 275,543,463.42, 413,315,195.04 and 113,985,399.42

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Solution

The fourth proportional to 275,543,463.42, 413,315,195.04 and 113,985,399.42 is: 170,978,099.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,543,463.42 : 413,315,195.04 = 113,985,399.42 : x
  2. Step 2: Convert to fraction form
    275,543,463.42/413,315,195.04 = 113,985,399.42/x
  3. Step 3: Cross multiply
    275,543,463.42x = 413,315,195.04 × 113,985,399.42
  4. Step 4: Simplify right side
    275,543,463.42x = 47,111,897,592,989,608
  5. Step 5: Solve for x
    x = 47,111,897,592,989,608/275,543,463.42
  6. Step 6: Final answer
    x = 170,978,099.09

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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.