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Finding the Fourth Proportional to 11,650,188,367,446, 17,475,282,551,169 and 11,650,188,367,446

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Solution

The fourth proportional to 11,650,188,367,446, 17,475,282,551,169 and 11,650,188,367,446 is: 17,475,282,551,169

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,650,188,367,446 : 17,475,282,551,169 = 11,650,188,367,446 : x
  2. Step 2: Convert to fraction form
    11,650,188,367,446/17,475,282,551,169 = 11,650,188,367,446/x
  3. Step 3: Cross multiply
    11,650,188,367,446x = 17,475,282,551,169 × 11,650,188,367,446
  4. Step 4: Simplify right side
    11,650,188,367,446x = 203,590,333,495,461,145,930,104,832
  5. Step 5: Solve for x
    x = 203,590,333,495,461,145,930,104,832/11,650,188,367,446
  6. Step 6: Final answer
    x = 17,475,282,551,169

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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.