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Finding the Fourth Proportional to 8,257,029,218.82, 12,385,543,828.23 and 8,257,029,218.82

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Solution

The fourth proportional to 8,257,029,218.82, 12,385,543,828.23 and 8,257,029,218.82 is: 12,385,543,828.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257,029,218.82 : 12,385,543,828.23 = 8,257,029,218.82 : x
  2. Step 2: Convert to fraction form
    8,257,029,218.82/12,385,543,828.23 = 8,257,029,218.82/x
  3. Step 3: Cross multiply
    8,257,029,218.82x = 12,385,543,828.23 × 8,257,029,218.82
  4. Step 4: Simplify right side
    8,257,029,218.82x = 102,267,797,280,670,826,496
  5. Step 5: Solve for x
    x = 102,267,797,280,670,826,496/8,257,029,218.82
  6. Step 6: Final answer
    x = 12,385,543,828.23

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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.