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Finding the Fourth Proportional to 2,040,091,146.40, 2,861,569,560.80 and 2,040,091,146.40

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Solution

The fourth proportional to 2,040,091,146.40, 2,861,569,560.80 and 2,040,091,146.40 is: 2,861,569,560.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040,091,146.40 : 2,861,569,560.80 = 2,040,091,146.40 : x
  2. Step 2: Convert to fraction form
    2,040,091,146.40/2,861,569,560.80 = 2,040,091,146.40/x
  3. Step 3: Cross multiply
    2,040,091,146.40x = 2,861,569,560.80 × 2,040,091,146.40
  4. Step 4: Simplify right side
    2,040,091,146.40x = 5,837,862,725,795,817,472
  5. Step 5: Solve for x
    x = 5,837,862,725,795,817,472/2,040,091,146.40
  6. Step 6: Final answer
    x = 2,861,569,560.80

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Half scale
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Double scale
Find fourth proportional to 2,040,091,147.40, 2,861,569,562.20 and 2,040,091,147.40
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.