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Finding the Fourth Proportional to 269,648,205.80, 403,788,020.70 and 148,342,605.80

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Solution

The fourth proportional to 269,648,205.80, 403,788,020.70 and 148,342,605.80 is: 222,137,458.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,648,205.80 : 403,788,020.70 = 148,342,605.80 : x
  2. Step 2: Convert to fraction form
    269,648,205.80/403,788,020.70 = 148,342,605.80/x
  3. Step 3: Cross multiply
    269,648,205.80x = 403,788,020.70 × 148,342,605.80
  4. Step 4: Simplify right side
    269,648,205.80x = 59,898,967,181,462,344
  5. Step 5: Solve for x
    x = 59,898,967,181,462,344/269,648,205.80
  6. Step 6: Final answer
    x = 222,137,458.71

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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.