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Finding the Fourth Proportional to 808,380,823.80, 1,212,571,235.70 and 726,751,486.20

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Solution

The fourth proportional to 808,380,823.80, 1,212,571,235.70 and 726,751,486.20 is: 1,090,127,229.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,380,823.80 : 1,212,571,235.70 = 726,751,486.20 : x
  2. Step 2: Convert to fraction form
    808,380,823.80/1,212,571,235.70 = 726,751,486.20/x
  3. Step 3: Cross multiply
    808,380,823.80x = 1,212,571,235.70 × 726,751,486.20
  4. Step 4: Simplify right side
    808,380,823.80x = 881,237,947,668,345,600
  5. Step 5: Solve for x
    x = 881,237,947,668,345,600/808,380,823.80
  6. Step 6: Final answer
    x = 1,090,127,229.30

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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.