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Finding the Fourth Proportional to 205,193,141,825.60, 307,299,936,712.80 and 205,193,141,825.60

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Solution

The fourth proportional to 205,193,141,825.60, 307,299,936,712.80 and 205,193,141,825.60 is: 307,299,936,712.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,193,141,825.60 : 307,299,936,712.80 = 205,193,141,825.60 : x
  2. Step 2: Convert to fraction form
    205,193,141,825.60/307,299,936,712.80 = 205,193,141,825.60/x
  3. Step 3: Cross multiply
    205,193,141,825.60x = 307,299,936,712.80 × 205,193,141,825.60
  4. Step 4: Simplify right side
    205,193,141,825.60x = 63,055,839,496,907,475,910,656
  5. Step 5: Solve for x
    x = 63,055,839,496,907,475,910,656/205,193,141,825.60
  6. Step 6: Final answer
    x = 307,299,936,712.80

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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.