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Finding the Fourth Proportional to 257,855,661.82, 386,917,862.01 and 114,214,901.50

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Solution

The fourth proportional to 257,855,661.82, 386,917,862.01 and 114,214,901.50 is: 171,381,869.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,855,661.82 : 386,917,862.01 = 114,214,901.50 : x
  2. Step 2: Convert to fraction form
    257,855,661.82/386,917,862.01 = 114,214,901.50/x
  3. Step 3: Cross multiply
    257,855,661.82x = 386,917,862.01 × 114,214,901.50
  4. Step 4: Simplify right side
    257,855,661.82x = 44,191,785,498,062,744
  5. Step 5: Solve for x
    x = 44,191,785,498,062,744/257,855,661.82
  6. Step 6: Final answer
    x = 171,381,869.94

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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.