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Finding the Fourth Proportional to 19,690,936,706,091, 29,536,405,059,138 and 19,690,936,706,091

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Solution

The fourth proportional to 19,690,936,706,091, 29,536,405,059,138 and 19,690,936,706,091 is: 29,536,405,059,138

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,690,936,706,091 : 29,536,405,059,138 = 19,690,936,706,091 : x
  2. Step 2: Convert to fraction form
    19,690,936,706,091/29,536,405,059,138 = 19,690,936,706,091/x
  3. Step 3: Cross multiply
    19,690,936,706,091x = 29,536,405,059,138 × 19,690,936,706,091
  4. Step 4: Simplify right side
    19,690,936,706,091x = 581,599,482,544,952,341,931,491,328
  5. Step 5: Solve for x
    x = 581,599,482,544,952,341,931,491,328/19,690,936,706,091
  6. Step 6: Final answer
    x = 29,536,405,059,138

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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.