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Finding the Fourth Proportional to 19,690,936,706,096, 29,536,405,059,146 and 19,690,936,706,096

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Solution

The fourth proportional to 19,690,936,706,096, 29,536,405,059,146 and 19,690,936,706,096 is: 29,536,405,059,146

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,690,936,706,096 : 29,536,405,059,146 = 19,690,936,706,096 : x
  2. Step 2: Convert to fraction form
    19,690,936,706,096/29,536,405,059,146 = 19,690,936,706,096/x
  3. Step 3: Cross multiply
    19,690,936,706,096x = 29,536,405,059,146 × 19,690,936,706,096
  4. Step 4: Simplify right side
    19,690,936,706,096x = 581,599,482,545,257,593,847,152,640
  5. Step 5: Solve for x
    x = 581,599,482,545,257,593,847,152,640/19,690,936,706,096
  6. Step 6: Final answer
    x = 29,536,405,059,146

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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.