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Finding the Fourth Proportional to 12,082,784,257,801, 18,124,176,386,702 and 12,082,784,257,801

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Solution

The fourth proportional to 12,082,784,257,801, 18,124,176,386,702 and 12,082,784,257,801 is: 18,124,176,386,702

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,082,784,257,801 : 18,124,176,386,702 = 12,082,784,257,801 : x
  2. Step 2: Convert to fraction form
    12,082,784,257,801/18,124,176,386,702 = 12,082,784,257,801/x
  3. Step 3: Cross multiply
    12,082,784,257,801x = 18,124,176,386,702 × 12,082,784,257,801
  4. Step 4: Simplify right side
    12,082,784,257,801x = 218,990,513,130,851,536,776,200,192
  5. Step 5: Solve for x
    x = 218,990,513,130,851,536,776,200,192/12,082,784,257,801
  6. Step 6: Final answer
    x = 18,124,176,386,702

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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.