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Finding the Fourth Proportional to 269,952,005.10, 404,928,007.65 and 178,119,000.30

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Solution

The fourth proportional to 269,952,005.10, 404,928,007.65 and 178,119,000.30 is: 267,178,500.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,952,005.10 : 404,928,007.65 = 178,119,000.30 : x
  2. Step 2: Convert to fraction form
    269,952,005.10/404,928,007.65 = 178,119,000.30/x
  3. Step 3: Cross multiply
    269,952,005.10x = 404,928,007.65 × 178,119,000.30
  4. Step 4: Simplify right side
    269,952,005.10x = 72,125,371,916,088,752
  5. Step 5: Solve for x
    x = 72,125,371,916,088,752/269,952,005.10
  6. Step 6: Final answer
    x = 267,178,500.45

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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.