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Finding the Fourth Proportional to 277,655,228.82, 416,398,992.03 and 83,515,107.06

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Solution

The fourth proportional to 277,655,228.82, 416,398,992.03 and 83,515,107.06 is: 125,247,439.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,655,228.82 : 416,398,992.03 = 83,515,107.06 : x
  2. Step 2: Convert to fraction form
    277,655,228.82/416,398,992.03 = 83,515,107.06/x
  3. Step 3: Cross multiply
    277,655,228.82x = 416,398,992.03 × 83,515,107.06
  4. Step 4: Simplify right side
    277,655,228.82x = 34,775,606,399,061,536
  5. Step 5: Solve for x
    x = 34,775,606,399,061,536/277,655,228.82
  6. Step 6: Final answer
    x = 125,247,439.23

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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.