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Finding the Fourth Proportional to 468,139,129, 701,231,524.06 and 280,798,945

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Solution

The fourth proportional to 468,139,129, 701,231,524.06 and 280,798,945 is: 420,612,292.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,139,129 : 701,231,524.06 = 280,798,945 : x
  2. Step 2: Convert to fraction form
    468,139,129/701,231,524.06 = 280,798,945/x
  3. Step 3: Cross multiply
    468,139,129x = 701,231,524.06 × 280,798,945
  4. Step 4: Simplify right side
    468,139,129x = 196,905,072,156,790,112
  5. Step 5: Solve for x
    x = 196,905,072,156,790,112/468,139,129
  6. Step 6: Final answer
    x = 420,612,292.28

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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.