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Finding the Fourth Proportional to 857,897,356.20, 1,286,846,034.30 and 857,897,356.20

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Solution

The fourth proportional to 857,897,356.20, 1,286,846,034.30 and 857,897,356.20 is: 1,286,846,034.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,897,356.20 : 1,286,846,034.30 = 857,897,356.20 : x
  2. Step 2: Convert to fraction form
    857,897,356.20/1,286,846,034.30 = 857,897,356.20/x
  3. Step 3: Cross multiply
    857,897,356.20x = 1,286,846,034.30 × 857,897,356.20
  4. Step 4: Simplify right side
    857,897,356.20x = 1,103,981,810,662,424,576
  5. Step 5: Solve for x
    x = 1,103,981,810,662,424,576/857,897,356.20
  6. Step 6: Final answer
    x = 1,286,846,034.30

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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.