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Finding the Fourth Proportional to 857,883,909.70, 1,286,825,864.55 and 857,883,909.70

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Solution

The fourth proportional to 857,883,909.70, 1,286,825,864.55 and 857,883,909.70 is: 1,286,825,864.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,883,909.70 : 1,286,825,864.55 = 857,883,909.70 : x
  2. Step 2: Convert to fraction form
    857,883,909.70/1,286,825,864.55 = 857,883,909.70/x
  3. Step 3: Cross multiply
    857,883,909.70x = 1,286,825,864.55 × 857,883,909.70
  4. Step 4: Simplify right side
    857,883,909.70x = 1,103,947,203,783,236,608
  5. Step 5: Solve for x
    x = 1,103,947,203,783,236,608/857,883,909.70
  6. Step 6: Final answer
    x = 1,286,825,864.55

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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.