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Finding the Fourth Proportional to 445,188,312,000.40, 667,782,468,000.60 and 445,188,312,000.40

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Solution

The fourth proportional to 445,188,312,000.40, 667,782,468,000.60 and 445,188,312,000.40 is: 667,782,468,000.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,188,312,000.40 : 667,782,468,000.60 = 445,188,312,000.40 : x
  2. Step 2: Convert to fraction form
    445,188,312,000.40/667,782,468,000.60 = 445,188,312,000.40/x
  3. Step 3: Cross multiply
    445,188,312,000.40x = 667,782,468,000.60 × 445,188,312,000.40
  4. Step 4: Simplify right side
    445,188,312,000.40x = 297,288,949,712,648,253,997,056
  5. Step 5: Solve for x
    x = 297,288,949,712,648,253,997,056/445,188,312,000.40
  6. Step 6: Final answer
    x = 667,782,468,000.60

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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.