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Finding the Fourth Proportional to 251,724,672,005.27, 377,587,008,007.88 and 251,724,672,005.27

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Solution

The fourth proportional to 251,724,672,005.27, 377,587,008,007.88 and 251,724,672,005.27 is: 377,587,008,007.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,724,672,005.27 : 377,587,008,007.88 = 251,724,672,005.27 : x
  2. Step 2: Convert to fraction form
    251,724,672,005.27/377,587,008,007.88 = 251,724,672,005.27/x
  3. Step 3: Cross multiply
    251,724,672,005.27x = 377,587,008,007.88 × 251,724,672,005.27
  4. Step 4: Simplify right side
    251,724,672,005.27x = 95,047,965,744,234,852,515,840
  5. Step 5: Solve for x
    x = 95,047,965,744,234,852,515,840/251,724,672,005.27
  6. Step 6: Final answer
    x = 377,587,008,007.88

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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.