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Finding the Fourth Proportional to 534,418,630,218.15, 801,627,945,327.23 and 534,418,630,218.15

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Solution

The fourth proportional to 534,418,630,218.15, 801,627,945,327.23 and 534,418,630,218.15 is: 801,627,945,327.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,418,630,218.15 : 801,627,945,327.23 = 534,418,630,218.15 : x
  2. Step 2: Convert to fraction form
    534,418,630,218.15/801,627,945,327.23 = 534,418,630,218.15/x
  3. Step 3: Cross multiply
    534,418,630,218.15x = 801,627,945,327.23 × 534,418,630,218.15
  4. Step 4: Simplify right side
    534,418,630,218.15x = 428,404,908,486,368,314,785,792
  5. Step 5: Solve for x
    x = 428,404,908,486,368,314,785,792/534,418,630,218.15
  6. Step 6: Final answer
    x = 801,627,945,327.23

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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.