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Finding the Fourth Proportional to 19,690,936,705,053, 29,536,405,057,580 and 19,690,936,705,053

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Solution

The fourth proportional to 19,690,936,705,053, 29,536,405,057,580 and 19,690,936,705,053 is: 29,536,405,057,580

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,690,936,705,053 : 29,536,405,057,580 = 19,690,936,705,053 : x
  2. Step 2: Convert to fraction form
    19,690,936,705,053/29,536,405,057,580 = 19,690,936,705,053/x
  3. Step 3: Cross multiply
    19,690,936,705,053x = 29,536,405,057,580 × 19,690,936,705,053
  4. Step 4: Simplify right side
    19,690,936,705,053x = 581,599,482,483,615,123,703,332,864
  5. Step 5: Solve for x
    x = 581,599,482,483,615,123,703,332,864/19,690,936,705,053
  6. Step 6: Final answer
    x = 29,536,405,057,580

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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.