Finding the Fourth Proportional to 2,036,228,414.20, 3,054,342,621.30 and 809,396,865.70
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Solution
The fourth proportional to 2,036,228,414.20, 3,054,342,621.30 and 809,396,865.70 is: 1,214,095,298.55
Step by Step Solution
- Step 1: Write the proportion equation
2,036,228,414.20 : 3,054,342,621.30 = 809,396,865.70 : x - Step 2: Convert to fraction form
2,036,228,414.20/3,054,342,621.30 = 809,396,865.70/x - Step 3: Cross multiply
2,036,228,414.20x = 3,054,342,621.30 × 809,396,865.70 - Step 4: Simplify right side
2,036,228,414.20x = 2,472,175,344,454,142,464 - Step 5: Solve for x
x = 2,472,175,344,454,142,464/2,036,228,414.20 - Step 6: Final answer
x = 1,214,095,298.55
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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.