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Finding the Fourth Proportional to 12,082,784,259,809, 18,124,176,389,709 and 12,082,784,259,809

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Solution

The fourth proportional to 12,082,784,259,809, 18,124,176,389,709 and 12,082,784,259,809 is: 18,124,176,389,709

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,082,784,259,809 : 18,124,176,389,709 = 12,082,784,259,809 : x
  2. Step 2: Convert to fraction form
    12,082,784,259,809/18,124,176,389,709 = 12,082,784,259,809/x
  3. Step 3: Cross multiply
    12,082,784,259,809x = 18,124,176,389,709 × 12,082,784,259,809
  4. Step 4: Simplify right side
    12,082,784,259,809x = 218,990,513,203,577,805,682,507,776
  5. Step 5: Solve for x
    x = 218,990,513,203,577,805,682,507,776/12,082,784,259,809
  6. Step 6: Final answer
    x = 18,124,176,389,709

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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.