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Finding the Fourth Proportional to 176,162,142.52, 264,277,243.10 and 66,978,824.32

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Solution

The fourth proportional to 176,162,142.52, 264,277,243.10 and 66,978,824.32 is: 100,481,174.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,162,142.52 : 264,277,243.10 = 66,978,824.32 : x
  2. Step 2: Convert to fraction form
    176,162,142.52/264,277,243.10 = 66,978,824.32/x
  3. Step 3: Cross multiply
    176,162,142.52x = 264,277,243.10 × 66,978,824.32
  4. Step 4: Simplify right side
    176,162,142.52x = 17,700,979,037,368,832
  5. Step 5: Solve for x
    x = 17,700,979,037,368,832/176,162,142.52
  6. Step 6: Final answer
    x = 100,481,174.81

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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.