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Finding the Fourth Proportional to 943,840,512,057.70, 1,415,760,768,086.50 and 943,840,512,057.70

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Solution

The fourth proportional to 943,840,512,057.70, 1,415,760,768,086.50 and 943,840,512,057.70 is: 1,415,760,768,086.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    943,840,512,057.70 : 1,415,760,768,086.50 = 943,840,512,057.70 : x
  2. Step 2: Convert to fraction form
    943,840,512,057.70/1,415,760,768,086.50 = 943,840,512,057.70/x
  3. Step 3: Cross multiply
    943,840,512,057.70x = 1,415,760,768,086.50 × 943,840,512,057.70
  4. Step 4: Simplify right side
    943,840,512,057.70x = 1,336,252,368,301,964,809,732,096
  5. Step 5: Solve for x
    x = 1,336,252,368,301,964,809,732,096/943,840,512,057.70
  6. Step 6: Final answer
    x = 1,415,760,768,086.50

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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.