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Finding the Fourth Proportional to 2,723,218,228,000.30, 4,084,827,342,000.30 and 2,723,218,228,000.30

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Solution

The fourth proportional to 2,723,218,228,000.30, 4,084,827,342,000.30 and 2,723,218,228,000.30 is: 4,084,827,342,000.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,723,218,228,000.30 : 4,084,827,342,000.30 = 2,723,218,228,000.30 : x
  2. Step 2: Convert to fraction form
    2,723,218,228,000.30/4,084,827,342,000.30 = 2,723,218,228,000.30/x
  3. Step 3: Cross multiply
    2,723,218,228,000.30x = 4,084,827,342,000.30 × 2,723,218,228,000.30
  4. Step 4: Simplify right side
    2,723,218,228,000.30x = 11,123,876,275,969,231,624,863,744
  5. Step 5: Solve for x
    x = 11,123,876,275,969,231,624,863,744/2,723,218,228,000.30
  6. Step 6: Final answer
    x = 4,084,827,342,000.30

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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.