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Finding the Fourth Proportional to 251,846,383,670.20, 377,769,575,505.30 and 251,846,383,670.20

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Solution

The fourth proportional to 251,846,383,670.20, 377,769,575,505.30 and 251,846,383,670.20 is: 377,769,575,505.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,846,383,670.20 : 377,769,575,505.30 = 251,846,383,670.20 : x
  2. Step 2: Convert to fraction form
    251,846,383,670.20/377,769,575,505.30 = 251,846,383,670.20/x
  3. Step 3: Cross multiply
    251,846,383,670.20x = 377,769,575,505.30 × 251,846,383,670.20
  4. Step 4: Simplify right side
    251,846,383,670.20x = 95,139,901,451,636,375,027,712
  5. Step 5: Solve for x
    x = 95,139,901,451,636,375,027,712/251,846,383,670.20
  6. Step 6: Final answer
    x = 377,769,575,505.30

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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.