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Finding the Fourth Proportional to 12,082,784,256,138, 18,124,176,384,210 and 12,082,784,256,138

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Solution

The fourth proportional to 12,082,784,256,138, 18,124,176,384,210 and 12,082,784,256,138 is: 18,124,176,384,210

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,082,784,256,138 : 18,124,176,384,210 = 12,082,784,256,138 : x
  2. Step 2: Convert to fraction form
    12,082,784,256,138/18,124,176,384,210 = 12,082,784,256,138/x
  3. Step 3: Cross multiply
    12,082,784,256,138x = 18,124,176,384,210 × 12,082,784,256,138
  4. Step 4: Simplify right side
    12,082,784,256,138x = 218,990,513,070,600,739,115,499,520
  5. Step 5: Solve for x
    x = 218,990,513,070,600,739,115,499,520/12,082,784,256,138
  6. Step 6: Final answer
    x = 18,124,176,384,210

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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.