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Finding the Fourth Proportional to 466,395,591,731.55, 699,593,387,597.32 and 466,395,591,731.55

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Solution

The fourth proportional to 466,395,591,731.55, 699,593,387,597.32 and 466,395,591,731.55 is: 699,593,387,597.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,395,591,731.55 : 699,593,387,597.32 = 466,395,591,731.55 : x
  2. Step 2: Convert to fraction form
    466,395,591,731.55/699,593,387,597.32 = 466,395,591,731.55/x
  3. Step 3: Cross multiply
    466,395,591,731.55x = 699,593,387,597.32 × 466,395,591,731.55
  4. Step 4: Simplify right side
    466,395,591,731.55x = 326,287,271,979,931,635,023,872
  5. Step 5: Solve for x
    x = 326,287,271,979,931,635,023,872/466,395,591,731.55
  6. Step 6: Final answer
    x = 699,593,387,597.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.