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Finding the Fourth Proportional to 444,828,715,480.80, 667,243,073,221.20 and 444,828,715,480.80

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Solution

The fourth proportional to 444,828,715,480.80, 667,243,073,221.20 and 444,828,715,480.80 is: 667,243,073,221.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,828,715,480.80 : 667,243,073,221.20 = 444,828,715,480.80 : x
  2. Step 2: Convert to fraction form
    444,828,715,480.80/667,243,073,221.20 = 444,828,715,480.80/x
  3. Step 3: Cross multiply
    444,828,715,480.80x = 667,243,073,221.20 × 444,828,715,480.80
  4. Step 4: Simplify right side
    444,828,715,480.80x = 296,808,879,174,447,743,893,504
  5. Step 5: Solve for x
    x = 296,808,879,174,447,743,893,504/444,828,715,480.80
  6. Step 6: Final answer
    x = 667,243,073,221.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.