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Finding the Fourth Proportional to 129,408,207,200.80, 194,112,310,801.20 and 129,408,207,200.80

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Solution

The fourth proportional to 129,408,207,200.80, 194,112,310,801.20 and 129,408,207,200.80 is: 194,112,310,801.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,408,207,200.80 : 194,112,310,801.20 = 129,408,207,200.80 : x
  2. Step 2: Convert to fraction form
    129,408,207,200.80/194,112,310,801.20 = 129,408,207,200.80/x
  3. Step 3: Cross multiply
    129,408,207,200.80x = 194,112,310,801.20 × 129,408,207,200.80
  4. Step 4: Simplify right side
    129,408,207,200.80x = 25,119,726,136,387,780,476,928
  5. Step 5: Solve for x
    x = 25,119,726,136,387,780,476,928/129,408,207,200.80
  6. Step 6: Final answer
    x = 194,112,310,801.20

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1.5x scale

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.