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Finding the Fourth Proportional to 275,502,443.40, 380,179,019.34 and 171,078,274.53

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Solution

The fourth proportional to 275,502,443.40, 380,179,019.34 and 171,078,274.53 is: 236,079,106.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,502,443.40 : 380,179,019.34 = 171,078,274.53 : x
  2. Step 2: Convert to fraction form
    275,502,443.40/380,179,019.34 = 171,078,274.53/x
  3. Step 3: Cross multiply
    275,502,443.40x = 380,179,019.34 × 171,078,274.53
  4. Step 4: Simplify right side
    275,502,443.40x = 65,040,370,641,194,696
  5. Step 5: Solve for x
    x = 65,040,370,641,194,696/275,502,443.40
  6. Step 6: Final answer
    x = 236,079,106.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.