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Finding the Fourth Proportional to 251,724,672,023.30, 377,587,008,034.95 and 251,724,672,023.30

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Solution

The fourth proportional to 251,724,672,023.30, 377,587,008,034.95 and 251,724,672,023.30 is: 377,587,008,034.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,724,672,023.30 : 377,587,008,034.95 = 251,724,672,023.30 : x
  2. Step 2: Convert to fraction form
    251,724,672,023.30/377,587,008,034.95 = 251,724,672,023.30/x
  3. Step 3: Cross multiply
    251,724,672,023.30x = 377,587,008,034.95 × 251,724,672,023.30
  4. Step 4: Simplify right side
    251,724,672,023.30x = 95,047,965,757,856,928,497,664
  5. Step 5: Solve for x
    x = 95,047,965,757,856,928,497,664/251,724,672,023.30
  6. Step 6: Final answer
    x = 377,587,008,034.95

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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.