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Finding the Fourth Proportional to 266,296,100.80, 399,487,869.60 and 82,063,608.16

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Solution

The fourth proportional to 266,296,100.80, 399,487,869.60 and 82,063,608.16 is: 123,108,884.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,296,100.80 : 399,487,869.60 = 82,063,608.16 : x
  2. Step 2: Convert to fraction form
    266,296,100.80/399,487,869.60 = 82,063,608.16/x
  3. Step 3: Cross multiply
    266,296,100.80x = 399,487,869.60 × 82,063,608.16
  4. Step 4: Simplify right side
    266,296,100.80x = 32,783,415,995,527,576
  5. Step 5: Solve for x
    x = 32,783,415,995,527,576/266,296,100.80
  6. Step 6: Final answer
    x = 123,108,884.80

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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.