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Finding the Fourth Proportional to 201,645,614.40, 301,712,594.40 and 133,621,166.40

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Solution

The fourth proportional to 201,645,614.40, 301,712,594.40 and 133,621,166.40 is: 199,930,898.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,645,614.40 : 301,712,594.40 = 133,621,166.40 : x
  2. Step 2: Convert to fraction form
    201,645,614.40/301,712,594.40 = 133,621,166.40/x
  3. Step 3: Cross multiply
    201,645,614.40x = 301,712,594.40 × 133,621,166.40
  4. Step 4: Simplify right side
    201,645,614.40x = 40,315,188,781,298,104
  5. Step 5: Solve for x
    x = 40,315,188,781,298,104/201,645,614.40
  6. Step 6: Final answer
    x = 199,930,898.08

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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.