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Finding the Fourth Proportional to 2,086,084,793,733.60, 3,129,127,190,600.50 and 2,086,084,793,733.60

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Solution

The fourth proportional to 2,086,084,793,733.60, 3,129,127,190,600.50 and 2,086,084,793,733.60 is: 3,129,127,190,600.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086,084,793,733.60 : 3,129,127,190,600.50 = 2,086,084,793,733.60 : x
  2. Step 2: Convert to fraction form
    2,086,084,793,733.60/3,129,127,190,600.50 = 2,086,084,793,733.60/x
  3. Step 3: Cross multiply
    2,086,084,793,733.60x = 3,129,127,190,600.50 × 2,086,084,793,733.60
  4. Step 4: Simplify right side
    2,086,084,793,733.60x = 6,527,624,649,970,043,859,238,912
  5. Step 5: Solve for x
    x = 6,527,624,649,970,043,859,238,912/2,086,084,793,733.60
  6. Step 6: Final answer
    x = 3,129,127,190,600.50

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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.