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Finding the Fourth Proportional to 227,044,134,000.73, 340,566,201,001.10 and 227,044,134,000.73

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Solution

The fourth proportional to 227,044,134,000.73, 340,566,201,001.10 and 227,044,134,000.73 is: 340,566,201,001.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,044,134,000.73 : 340,566,201,001.10 = 227,044,134,000.73 : x
  2. Step 2: Convert to fraction form
    227,044,134,000.73/340,566,201,001.10 = 227,044,134,000.73/x
  3. Step 3: Cross multiply
    227,044,134,000.73x = 340,566,201,001.10 × 227,044,134,000.73
  4. Step 4: Simplify right side
    227,044,134,000.73x = 77,323,558,176,213,298,053,120
  5. Step 5: Solve for x
    x = 77,323,558,176,213,298,053,120/227,044,134,000.73
  6. Step 6: Final answer
    x = 340,566,201,001.10

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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.