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Finding the Fourth Proportional to 574,189,084,810.80, 861,283,627,216.20 and 574,189,084,810.80

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Solution

The fourth proportional to 574,189,084,810.80, 861,283,627,216.20 and 574,189,084,810.80 is: 861,283,627,216.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,189,084,810.80 : 861,283,627,216.20 = 574,189,084,810.80 : x
  2. Step 2: Convert to fraction form
    574,189,084,810.80/861,283,627,216.20 = 574,189,084,810.80/x
  3. Step 3: Cross multiply
    574,189,084,810.80x = 861,283,627,216.20 × 574,189,084,810.80
  4. Step 4: Simplify right side
    574,189,084,810.80x = 494,539,657,673,796,118,118,400
  5. Step 5: Solve for x
    x = 494,539,657,673,796,118,118,400/574,189,084,810.80
  6. Step 6: Final answer
    x = 861,283,627,216.20

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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.