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Finding the Fourth Proportional to 12,663,134,208,159, 18,994,701,312,238 and 12,663,134,208,159

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Solution

The fourth proportional to 12,663,134,208,159, 18,994,701,312,238 and 12,663,134,208,159 is: 18,994,701,312,238

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,663,134,208,159 : 18,994,701,312,238 = 12,663,134,208,159 : x
  2. Step 2: Convert to fraction form
    12,663,134,208,159/18,994,701,312,238 = 12,663,134,208,159/x
  3. Step 3: Cross multiply
    12,663,134,208,159x = 18,994,701,312,238 × 12,663,134,208,159
  4. Step 4: Simplify right side
    12,663,134,208,159x = 240,532,451,960,763,665,015,111,680
  5. Step 5: Solve for x
    x = 240,532,451,960,763,665,015,111,680/12,663,134,208,159
  6. Step 6: Final answer
    x = 18,994,701,312,238

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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.