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Finding the Fourth Proportional to 3,296,529,043,845.80, 4,944,793,565,768.50 and 3,296,529,043,845.80

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Solution

The fourth proportional to 3,296,529,043,845.80, 4,944,793,565,768.50 and 3,296,529,043,845.80 is: 4,944,793,565,768.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296,529,043,845.80 : 4,944,793,565,768.50 = 3,296,529,043,845.80 : x
  2. Step 2: Convert to fraction form
    3,296,529,043,845.80/4,944,793,565,768.50 = 3,296,529,043,845.80/x
  3. Step 3: Cross multiply
    3,296,529,043,845.80x = 4,944,793,565,768.50 × 3,296,529,043,845.80
  4. Step 4: Simplify right side
    3,296,529,043,845.80x = 16,300,655,605,377,696,647,872,512
  5. Step 5: Solve for x
    x = 16,300,655,605,377,696,647,872,512/3,296,529,043,845.80
  6. Step 6: Final answer
    x = 4,944,793,565,768.50

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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.