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Finding the Fourth Proportional to 231,835,108.80, 347,454,064.80 and 177,714,148.80

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Solution

The fourth proportional to 231,835,108.80, 347,454,064.80 and 177,714,148.80 is: 266,342,331.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,835,108.80 : 347,454,064.80 = 177,714,148.80 : x
  2. Step 2: Convert to fraction form
    231,835,108.80/347,454,064.80 = 177,714,148.80/x
  3. Step 3: Cross multiply
    231,835,108.80x = 347,454,064.80 × 177,714,148.80
  4. Step 4: Simplify right side
    231,835,108.80x = 61,747,503,373,032,048
  5. Step 5: Solve for x
    x = 61,747,503,373,032,048/231,835,108.80
  6. Step 6: Final answer
    x = 266,342,331.38

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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.