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Finding the Fourth Proportional to 840,729,309.80, 1,261,093,964.70 and 840,729,309.80

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Solution

The fourth proportional to 840,729,309.80, 1,261,093,964.70 and 840,729,309.80 is: 1,261,093,964.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,729,309.80 : 1,261,093,964.70 = 840,729,309.80 : x
  2. Step 2: Convert to fraction form
    840,729,309.80/1,261,093,964.70 = 840,729,309.80/x
  3. Step 3: Cross multiply
    840,729,309.80x = 1,261,093,964.70 × 840,729,309.80
  4. Step 4: Simplify right side
    840,729,309.80x = 1,060,238,658,535,176,576
  5. Step 5: Solve for x
    x = 1,060,238,658,535,176,576/840,729,309.80
  6. Step 6: Final answer
    x = 1,261,093,964.70

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1.5x scale

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.