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Finding the Fourth Proportional to 19,690,936,706,096, 29,536,405,059,148 and 19,690,936,706,096

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Solution

The fourth proportional to 19,690,936,706,096, 29,536,405,059,148 and 19,690,936,706,096 is: 29,536,405,059,148

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,690,936,706,096 : 29,536,405,059,148 = 19,690,936,706,096 : x
  2. Step 2: Convert to fraction form
    19,690,936,706,096/29,536,405,059,148 = 19,690,936,706,096/x
  3. Step 3: Cross multiply
    19,690,936,706,096x = 29,536,405,059,148 × 19,690,936,706,096
  4. Step 4: Simplify right side
    19,690,936,706,096x = 581,599,482,545,296,970,107,322,368
  5. Step 5: Solve for x
    x = 581,599,482,545,296,970,107,322,368/19,690,936,706,096
  6. Step 6: Final answer
    x = 29,536,405,059,148

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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.