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Finding the Fourth Proportional to 12,082,784,257,022, 18,124,176,385,535 and 12,082,784,257,022

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Solution

The fourth proportional to 12,082,784,257,022, 18,124,176,385,535 and 12,082,784,257,022 is: 18,124,176,385,535

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,082,784,257,022 : 18,124,176,385,535 = 12,082,784,257,022 : x
  2. Step 2: Convert to fraction form
    12,082,784,257,022/18,124,176,385,535 = 12,082,784,257,022/x
  3. Step 3: Cross multiply
    12,082,784,257,022x = 18,124,176,385,535 × 12,082,784,257,022
  4. Step 4: Simplify right side
    12,082,784,257,022x = 218,990,513,102,632,192,892,207,104
  5. Step 5: Solve for x
    x = 218,990,513,102,632,192,892,207,104/12,082,784,257,022
  6. Step 6: Final answer
    x = 18,124,176,385,535

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1.5x scale

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.