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Finding the Fourth Proportional to 268,641,169.80, 402,289,908.30 and 214,893,457.80

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Solution

The fourth proportional to 268,641,169.80, 402,289,908.30 and 214,893,457.80 is: 321,802,758.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,641,169.80 : 402,289,908.30 = 214,893,457.80 : x
  2. Step 2: Convert to fraction form
    268,641,169.80/402,289,908.30 = 214,893,457.80/x
  3. Step 3: Cross multiply
    268,641,169.80x = 402,289,908.30 × 214,893,457.80
  4. Step 4: Simplify right side
    268,641,169.80x = 86,449,469,432,631,920
  5. Step 5: Solve for x
    x = 86,449,469,432,631,920/268,641,169.80
  6. Step 6: Final answer
    x = 321,802,758.29

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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.