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Finding the Fourth Proportional to 201,645,612.90, 301,712,592.15 and 133,621,164.90

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Solution

The fourth proportional to 201,645,612.90, 301,712,592.15 and 133,621,164.90 is: 199,930,895.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,645,612.90 : 301,712,592.15 = 133,621,164.90 : x
  2. Step 2: Convert to fraction form
    201,645,612.90/301,712,592.15 = 133,621,164.90/x
  3. Step 3: Cross multiply
    201,645,612.90x = 301,712,592.15 × 133,621,164.90
  4. Step 4: Simplify right side
    201,645,612.90x = 40,315,188,028,081,592
  5. Step 5: Solve for x
    x = 40,315,188,028,081,592/201,645,612.90
  6. Step 6: Final answer
    x = 199,930,895.83

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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.