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Finding the Fourth Proportional to 251,724,672,004.73, 377,587,008,007.10 and 251,724,672,004.73

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Solution

The fourth proportional to 251,724,672,004.73, 377,587,008,007.10 and 251,724,672,004.73 is: 377,587,008,007.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,724,672,004.73 : 377,587,008,007.10 = 251,724,672,004.73 : x
  2. Step 2: Convert to fraction form
    251,724,672,004.73/377,587,008,007.10 = 251,724,672,004.73/x
  3. Step 3: Cross multiply
    251,724,672,004.73x = 377,587,008,007.10 × 251,724,672,004.73
  4. Step 4: Simplify right side
    251,724,672,004.73x = 95,047,965,743,834,598,473,728
  5. Step 5: Solve for x
    x = 95,047,965,743,834,598,473,728/251,724,672,004.73
  6. Step 6: Final answer
    x = 377,587,008,007.10

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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.