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Finding the Fourth Proportional to 227,044,134,025.10, 340,566,201,037.65 and 227,044,134,025.10

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Solution

The fourth proportional to 227,044,134,025.10, 340,566,201,037.65 and 227,044,134,025.10 is: 340,566,201,037.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,044,134,025.10 : 340,566,201,037.65 = 227,044,134,025.10 : x
  2. Step 2: Convert to fraction form
    227,044,134,025.10/340,566,201,037.65 = 227,044,134,025.10/x
  3. Step 3: Cross multiply
    227,044,134,025.10x = 340,566,201,037.65 × 227,044,134,025.10
  4. Step 4: Simplify right side
    227,044,134,025.10x = 77,323,558,192,811,366,940,672
  5. Step 5: Solve for x
    x = 77,323,558,192,811,366,940,672/227,044,134,025.10
  6. Step 6: Final answer
    x = 340,566,201,037.65

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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.