Finding the Fourth Proportional to 6,985,393,597,120.80, 10,468,724,382,747 and 5,436,568,396,934.40
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Solution
The fourth proportional to 6,985,393,597,120.80, 10,468,724,382,747 and 5,436,568,396,934.40 is: 8,147,563,246,674.80
Step by Step Solution
- Step 1: Write the proportion equation
6,985,393,597,120.80 : 10,468,724,382,747 = 5,436,568,396,934.40 : x - Step 2: Convert to fraction form
6,985,393,597,120.80/10,468,724,382,747 = 5,436,568,396,934.40/x - Step 3: Cross multiply
6,985,393,597,120.80x = 10,468,724,382,747 × 5,436,568,396,934.40 - Step 4: Simplify right side
6,985,393,597,120.80x = 56,913,936,135,458,929,688,707,072 - Step 5: Solve for x
x = 56,913,936,135,458,929,688,707,072/6,985,393,597,120.80 - Step 6: Final answer
x = 8,147,563,246,674.80
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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.