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Finding the Fourth Proportional to 12,082,784,259,818, 18,124,176,389,725 and 12,082,784,259,818

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Solution

The fourth proportional to 12,082,784,259,818, 18,124,176,389,725 and 12,082,784,259,818 is: 18,124,176,389,725

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,082,784,259,818 : 18,124,176,389,725 = 12,082,784,259,818 : x
  2. Step 2: Convert to fraction form
    12,082,784,259,818/18,124,176,389,725 = 12,082,784,259,818/x
  3. Step 3: Cross multiply
    12,082,784,259,818x = 18,124,176,389,725 × 12,082,784,259,818
  4. Step 4: Simplify right side
    12,082,784,259,818x = 218,990,513,203,934,253,608,337,408
  5. Step 5: Solve for x
    x = 218,990,513,203,934,253,608,337,408/12,082,784,259,818
  6. Step 6: Final answer
    x = 18,124,176,389,725

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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.