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Finding the Fourth Proportional to 363,505,644,401.60, 545,258,466,602.40 and 363,505,644,401.60

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Solution

The fourth proportional to 363,505,644,401.60, 545,258,466,602.40 and 363,505,644,401.60 is: 545,258,466,602.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,505,644,401.60 : 545,258,466,602.40 = 363,505,644,401.60 : x
  2. Step 2: Convert to fraction form
    363,505,644,401.60/545,258,466,602.40 = 363,505,644,401.60/x
  3. Step 3: Cross multiply
    363,505,644,401.60x = 545,258,466,602.40 × 363,505,644,401.60
  4. Step 4: Simplify right side
    363,505,644,401.60x = 198,204,530,267,733,691,990,016
  5. Step 5: Solve for x
    x = 198,204,530,267,733,691,990,016/363,505,644,401.60
  6. Step 6: Final answer
    x = 545,258,466,602.40

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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.