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Finding the Fourth Proportional to 808,647,957.60, 1,212,971,936.40 and 776,903,215.20

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Solution

The fourth proportional to 808,647,957.60, 1,212,971,936.40 and 776,903,215.20 is: 1,165,354,822.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,647,957.60 : 1,212,971,936.40 = 776,903,215.20 : x
  2. Step 2: Convert to fraction form
    808,647,957.60/1,212,971,936.40 = 776,903,215.20/x
  3. Step 3: Cross multiply
    808,647,957.60x = 1,212,971,936.40 × 776,903,215.20
  4. Step 4: Simplify right side
    808,647,957.60x = 942,361,797,336,530,048
  5. Step 5: Solve for x
    x = 942,361,797,336,530,048/808,647,957.60
  6. Step 6: Final answer
    x = 1,165,354,822.80

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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.