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Finding the Fourth Proportional to 201,208,843.10, 301,813,264.65 and 123,724,745.30

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Solution

The fourth proportional to 201,208,843.10, 301,813,264.65 and 123,724,745.30 is: 185,587,117.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,208,843.10 : 301,813,264.65 = 123,724,745.30 : x
  2. Step 2: Convert to fraction form
    201,208,843.10/301,813,264.65 = 123,724,745.30/x
  3. Step 3: Cross multiply
    201,208,843.10x = 301,813,264.65 × 123,724,745.30
  4. Step 4: Simplify right side
    201,208,843.10x = 37,341,769,296,982,736
  5. Step 5: Solve for x
    x = 37,341,769,296,982,736/201,208,843.10
  6. Step 6: Final answer
    x = 185,587,117.95

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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.