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Finding the Fourth Proportional to 5,504,686,145.21, 8,257,029,217.82 and 5,504,686,145.21

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Solution

The fourth proportional to 5,504,686,145.21, 8,257,029,217.82 and 5,504,686,145.21 is: 8,257,029,217.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,504,686,145.21 : 8,257,029,217.82 = 5,504,686,145.21 : x
  2. Step 2: Convert to fraction form
    5,504,686,145.21/8,257,029,217.82 = 5,504,686,145.21/x
  3. Step 3: Cross multiply
    5,504,686,145.21x = 8,257,029,217.82 × 5,504,686,145.21
  4. Step 4: Simplify right side
    5,504,686,145.21x = 45,452,354,335,941,402,624
  5. Step 5: Solve for x
    x = 45,452,354,335,941,402,624/5,504,686,145.21
  6. Step 6: Final answer
    x = 8,257,029,217.82

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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.