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Finding the Fourth Proportional to 19,690,936,706,090, 29,536,405,059,136 and 19,690,936,706,090

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Solution

The fourth proportional to 19,690,936,706,090, 29,536,405,059,136 and 19,690,936,706,090 is: 29,536,405,059,136

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,690,936,706,090 : 29,536,405,059,136 = 19,690,936,706,090 : x
  2. Step 2: Convert to fraction form
    19,690,936,706,090/29,536,405,059,136 = 19,690,936,706,090/x
  3. Step 3: Cross multiply
    19,690,936,706,090x = 29,536,405,059,136 × 19,690,936,706,090
  4. Step 4: Simplify right side
    19,690,936,706,090x = 581,599,482,544,883,416,296,325,120
  5. Step 5: Solve for x
    x = 581,599,482,544,883,416,296,325,120/19,690,936,706,090
  6. Step 6: Final answer
    x = 29,536,405,059,136

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.