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Finding the Fourth Proportional to 269,952,005.60, 404,928,008.40 and 178,119,000.80

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Solution

The fourth proportional to 269,952,005.60, 404,928,008.40 and 178,119,000.80 is: 267,178,501.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,952,005.60 : 404,928,008.40 = 178,119,000.80 : x
  2. Step 2: Convert to fraction form
    269,952,005.60/404,928,008.40 = 178,119,000.80/x
  3. Step 3: Cross multiply
    269,952,005.60x = 404,928,008.40 × 178,119,000.80
  4. Step 4: Simplify right side
    269,952,005.60x = 72,125,372,252,142,000
  5. Step 5: Solve for x
    x = 72,125,372,252,142,000/269,952,005.60
  6. Step 6: Final answer
    x = 267,178,501.20

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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.