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Finding the Fourth Proportional to 148,284,419,563.60, 222,426,629,345.40 and 148,284,419,563.60

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Solution

The fourth proportional to 148,284,419,563.60, 222,426,629,345.40 and 148,284,419,563.60 is: 222,426,629,345.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,284,419,563.60 : 222,426,629,345.40 = 148,284,419,563.60 : x
  2. Step 2: Convert to fraction form
    148,284,419,563.60/222,426,629,345.40 = 148,284,419,563.60/x
  3. Step 3: Cross multiply
    148,284,419,563.60x = 222,426,629,345.40 × 148,284,419,563.60
  4. Step 4: Simplify right side
    148,284,419,563.60x = 32,982,403,627,970,639,953,920
  5. Step 5: Solve for x
    x = 32,982,403,627,970,639,953,920/148,284,419,563.60
  6. Step 6: Final answer
    x = 222,426,629,345.40

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1.5x scale

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.