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Finding the Fourth Proportional to 205,193,150,336.60, 307,789,725,504.90 and 205,193,150,336.60

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Solution

The fourth proportional to 205,193,150,336.60, 307,789,725,504.90 and 205,193,150,336.60 is: 307,789,725,504.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,193,150,336.60 : 307,789,725,504.90 = 205,193,150,336.60 : x
  2. Step 2: Convert to fraction form
    205,193,150,336.60/307,789,725,504.90 = 205,193,150,336.60/x
  3. Step 3: Cross multiply
    205,193,150,336.60x = 307,789,725,504.90 × 205,193,150,336.60
  4. Step 4: Simplify right side
    205,193,150,336.60x = 63,156,343,417,587,795,755,008
  5. Step 5: Solve for x
    x = 63,156,343,417,587,795,755,008/205,193,150,336.60
  6. Step 6: Final answer
    x = 307,789,725,504.90

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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.