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Finding the Fourth Proportional to 177,546,846, 266,320,269 and 49,896,030

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Solution

The fourth proportional to 177,546,846, 266,320,269 and 49,896,030 is: 74,844,045

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,546,846 : 266,320,269 = 49,896,030 : x
  2. Step 2: Convert to fraction form
    177,546,846/266,320,269 = 49,896,030/x
  3. Step 3: Cross multiply
    177,546,846x = 266,320,269 × 49,896,030
  4. Step 4: Simplify right side
    177,546,846x = 13,288,324,131,632,070
  5. Step 5: Solve for x
    x = 13,288,324,131,632,070/177,546,846
  6. Step 6: Final answer
    x = 74,844,045

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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.