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Finding the Fourth Proportional to 943,345,166,793.20, 1,415,017,750,189.80 and 943,345,166,793.20

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Solution

The fourth proportional to 943,345,166,793.20, 1,415,017,750,189.80 and 943,345,166,793.20 is: 1,415,017,750,189.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    943,345,166,793.20 : 1,415,017,750,189.80 = 943,345,166,793.20 : x
  2. Step 2: Convert to fraction form
    943,345,166,793.20/1,415,017,750,189.80 = 943,345,166,793.20/x
  3. Step 3: Cross multiply
    943,345,166,793.20x = 1,415,017,750,189.80 × 943,345,166,793.20
  4. Step 4: Simplify right side
    943,345,166,793.20x = 1,334,850,155,568,135,523,008,512
  5. Step 5: Solve for x
    x = 1,334,850,155,568,135,523,008,512/943,345,166,793.20
  6. Step 6: Final answer
    x = 1,415,017,750,189.80

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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.