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Finding the Fourth Proportional to 266,194,927.30, 399,292,390.96 and 266,194,927.30

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Solution

The fourth proportional to 266,194,927.30, 399,292,390.96 and 266,194,927.30 is: 399,292,390.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,194,927.30 : 399,292,390.96 = 266,194,927.30 : x
  2. Step 2: Convert to fraction form
    266,194,927.30/399,292,390.96 = 266,194,927.30/x
  3. Step 3: Cross multiply
    266,194,927.30x = 399,292,390.96 × 266,194,927.30
  4. Step 4: Simplify right side
    266,194,927.30x = 106,289,608,983,040,384
  5. Step 5: Solve for x
    x = 106,289,608,983,040,384/266,194,927.30
  6. Step 6: Final answer
    x = 399,292,390.96

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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.