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Finding the Fourth Proportional to 201,852,569.92, 278,556,658.62 and 109,033,078.60

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Solution

The fourth proportional to 201,852,569.92, 278,556,658.62 and 109,033,078.60 is: 150,465,709.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,852,569.92 : 278,556,658.62 = 109,033,078.60 : x
  2. Step 2: Convert to fraction form
    201,852,569.92/278,556,658.62 = 109,033,078.60/x
  3. Step 3: Cross multiply
    201,852,569.92x = 278,556,658.62 × 109,033,078.60
  4. Step 4: Simplify right side
    201,852,569.92x = 30,371,890,053,867,828
  5. Step 5: Solve for x
    x = 30,371,890,053,867,828/201,852,569.92
  6. Step 6: Final answer
    x = 150,465,709.04

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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.