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Finding the Fourth Proportional to 178,119,006.40, 267,178,509.60 and 178,119,006.40

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Solution

The fourth proportional to 178,119,006.40, 267,178,509.60 and 178,119,006.40 is: 267,178,509.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,119,006.40 : 267,178,509.60 = 178,119,006.40 : x
  2. Step 2: Convert to fraction form
    178,119,006.40/267,178,509.60 = 178,119,006.40/x
  3. Step 3: Cross multiply
    178,119,006.40x = 267,178,509.60 × 178,119,006.40
  4. Step 4: Simplify right side
    178,119,006.40x = 47,589,570,661,384,864
  5. Step 5: Solve for x
    x = 47,589,570,661,384,864/178,119,006.40
  6. Step 6: Final answer
    x = 267,178,509.60

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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.