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Finding the Fourth Proportional to 268,641,144.80, 402,289,870.80 and 214,893,432.80

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Solution

The fourth proportional to 268,641,144.80, 402,289,870.80 and 214,893,432.80 is: 321,802,720.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,641,144.80 : 402,289,870.80 = 214,893,432.80 : x
  2. Step 2: Convert to fraction form
    268,641,144.80/402,289,870.80 = 214,893,432.80/x
  3. Step 3: Cross multiply
    268,641,144.80x = 402,289,870.80 × 214,893,432.80
  4. Step 4: Simplify right side
    268,641,144.80x = 86,449,451,316,880,496
  5. Step 5: Solve for x
    x = 86,449,451,316,880,496/268,641,144.80
  6. Step 6: Final answer
    x = 321,802,720.81

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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.