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Finding the Fourth Proportional to 12,082,784,257,603, 18,124,176,386,406 and 12,082,784,257,603

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Solution

The fourth proportional to 12,082,784,257,603, 18,124,176,386,406 and 12,082,784,257,603 is: 18,124,176,386,406

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,082,784,257,603 : 18,124,176,386,406 = 12,082,784,257,603 : x
  2. Step 2: Convert to fraction form
    12,082,784,257,603/18,124,176,386,406 = 12,082,784,257,603/x
  3. Step 3: Cross multiply
    12,082,784,257,603x = 18,124,176,386,406 × 12,082,784,257,603
  4. Step 4: Simplify right side
    12,082,784,257,603x = 218,990,513,123,686,431,814,844,416
  5. Step 5: Solve for x
    x = 218,990,513,123,686,431,814,844,416/12,082,784,257,603
  6. Step 6: Final answer
    x = 18,124,176,386,406

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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.