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Finding the Fourth Proportional to 943,840,512,002.20, 1,415,760,768,003.30 and 943,840,512,002.20

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Solution

The fourth proportional to 943,840,512,002.20, 1,415,760,768,003.30 and 943,840,512,002.20 is: 1,415,760,768,003.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    943,840,512,002.20 : 1,415,760,768,003.30 = 943,840,512,002.20 : x
  2. Step 2: Convert to fraction form
    943,840,512,002.20/1,415,760,768,003.30 = 943,840,512,002.20/x
  3. Step 3: Cross multiply
    943,840,512,002.20x = 1,415,760,768,003.30 × 943,840,512,002.20
  4. Step 4: Simplify right side
    943,840,512,002.20x = 1,336,252,368,144,862,422,237,184
  5. Step 5: Solve for x
    x = 1,336,252,368,144,862,422,237,184/943,840,512,002.20
  6. Step 6: Final answer
    x = 1,415,760,768,003.30

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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.