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Finding the Fourth Proportional to 886,469,733.60, 1,329,704,600.40 and 519,137,714.40

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Solution

The fourth proportional to 886,469,733.60, 1,329,704,600.40 and 519,137,714.40 is: 778,706,571.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    886,469,733.60 : 1,329,704,600.40 = 519,137,714.40 : x
  2. Step 2: Convert to fraction form
    886,469,733.60/1,329,704,600.40 = 519,137,714.40/x
  3. Step 3: Cross multiply
    886,469,733.60x = 1,329,704,600.40 × 519,137,714.40
  4. Step 4: Simplify right side
    886,469,733.60x = 690,299,807,078,821,376
  5. Step 5: Solve for x
    x = 690,299,807,078,821,376/886,469,733.60
  6. Step 6: Final answer
    x = 778,706,571.60

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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.