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Finding the Fourth Proportional to 12,096,478,304,166, 18,144,717,456,249 and 12,096,478,304,166

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Solution

The fourth proportional to 12,096,478,304,166, 18,144,717,456,249 and 12,096,478,304,166 is: 18,144,717,456,249

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,096,478,304,166 : 18,144,717,456,249 = 12,096,478,304,166 : x
  2. Step 2: Convert to fraction form
    12,096,478,304,166/18,144,717,456,249 = 12,096,478,304,166/x
  3. Step 3: Cross multiply
    12,096,478,304,166x = 18,144,717,456,249 × 12,096,478,304,166
  4. Step 4: Simplify right side
    12,096,478,304,166x = 219,487,181,044,738,129,167,122,432
  5. Step 5: Solve for x
    x = 219,487,181,044,738,129,167,122,432/12,096,478,304,166
  6. Step 6: Final answer
    x = 18,144,717,456,249

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1.5x scale

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.