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Finding the Fourth Proportional to 413,874,658.80, 620,284,483.80 and 219,879,010.80

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Solution

The fourth proportional to 413,874,658.80, 620,284,483.80 and 219,879,010.80 is: 329,538,269.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,874,658.80 : 620,284,483.80 = 219,879,010.80 : x
  2. Step 2: Convert to fraction form
    413,874,658.80/620,284,483.80 = 219,879,010.80/x
  3. Step 3: Cross multiply
    413,874,658.80x = 620,284,483.80 × 219,879,010.80
  4. Step 4: Simplify right side
    413,874,658.80x = 136,387,538,712,532,624
  5. Step 5: Solve for x
    x = 136,387,538,712,532,624/413,874,658.80
  6. Step 6: Final answer
    x = 329,538,269.17

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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.