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Finding the Fourth Proportional to 201,677,609.70, 302,516,414.55 and 132,802,856.10

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Solution

The fourth proportional to 201,677,609.70, 302,516,414.55 and 132,802,856.10 is: 199,204,284.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,677,609.70 : 302,516,414.55 = 132,802,856.10 : x
  2. Step 2: Convert to fraction form
    201,677,609.70/302,516,414.55 = 132,802,856.10/x
  3. Step 3: Cross multiply
    201,677,609.70x = 302,516,414.55 × 132,802,856.10
  4. Step 4: Simplify right side
    201,677,609.70x = 40,175,043,869,371,600
  5. Step 5: Solve for x
    x = 40,175,043,869,371,600/201,677,609.70
  6. Step 6: Final answer
    x = 199,204,284.15

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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.