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Finding the Fourth Proportional to 19,690,936,706,005, 29,536,405,059,008 and 19,690,936,706,005

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Solution

The fourth proportional to 19,690,936,706,005, 29,536,405,059,008 and 19,690,936,706,005 is: 29,536,405,059,008

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,690,936,706,005 : 29,536,405,059,008 = 19,690,936,706,005 : x
  2. Step 2: Convert to fraction form
    19,690,936,706,005/29,536,405,059,008 = 19,690,936,706,005/x
  3. Step 3: Cross multiply
    19,690,936,706,005x = 29,536,405,059,008 × 19,690,936,706,005
  4. Step 4: Simplify right side
    19,690,936,706,005x = 581,599,482,539,852,394,685,005,824
  5. Step 5: Solve for x
    x = 581,599,482,539,852,394,685,005,824/19,690,936,706,005
  6. Step 6: Final answer
    x = 29,536,405,059,008

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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.