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Finding the Fourth Proportional to 260,776,133.70, 391,164,200.55 and 260,776,133.70

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Solution

The fourth proportional to 260,776,133.70, 391,164,200.55 and 260,776,133.70 is: 391,164,200.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,776,133.70 : 391,164,200.55 = 260,776,133.70 : x
  2. Step 2: Convert to fraction form
    260,776,133.70/391,164,200.55 = 260,776,133.70/x
  3. Step 3: Cross multiply
    260,776,133.70x = 391,164,200.55 × 260,776,133.70
  4. Step 4: Simplify right side
    260,776,133.70x = 102,006,287,861,280,416
  5. Step 5: Solve for x
    x = 102,006,287,861,280,416/260,776,133.70
  6. Step 6: Final answer
    x = 391,164,200.55

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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.