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Finding the Fourth Proportional to 883,147,203.50, 1,218,751,200.73 and 486,684,418.11

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Solution

The fourth proportional to 883,147,203.50, 1,218,751,200.73 and 486,684,418.11 is: 671,628,938.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    883,147,203.50 : 1,218,751,200.73 = 486,684,418.11 : x
  2. Step 2: Convert to fraction form
    883,147,203.50/1,218,751,200.73 = 486,684,418.11/x
  3. Step 3: Cross multiply
    883,147,203.50x = 1,218,751,200.73 × 486,684,418.11
  4. Step 4: Simplify right side
    883,147,203.50x = 593,147,218,948,143,872
  5. Step 5: Solve for x
    x = 593,147,218,948,143,872/883,147,203.50
  6. Step 6: Final answer
    x = 671,628,938.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.