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Finding the Fourth Proportional to 12,082,784,256,233, 18,124,176,384,350 and 12,082,784,256,233

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Solution

The fourth proportional to 12,082,784,256,233, 18,124,176,384,350 and 12,082,784,256,233 is: 18,124,176,384,350

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,082,784,256,233 : 18,124,176,384,350 = 12,082,784,256,233 : x
  2. Step 2: Convert to fraction form
    12,082,784,256,233/18,124,176,384,350 = 12,082,784,256,233/x
  3. Step 3: Cross multiply
    12,082,784,256,233x = 18,124,176,384,350 × 12,082,784,256,233
  4. Step 4: Simplify right side
    12,082,784,256,233x = 218,990,513,074,014,104,244,453,376
  5. Step 5: Solve for x
    x = 218,990,513,074,014,104,244,453,376/12,082,784,256,233
  6. Step 6: Final answer
    x = 18,124,176,384,350

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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.