Finding the Fourth Proportional to 3,175,468,972.87, 4,382,150,815.57 and 1,765,742,668.42
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Solution
The fourth proportional to 3,175,468,972.87, 4,382,150,815.57 and 1,765,742,668.42 is: 2,436,726,902.58
Step by Step Solution
- Step 1: Write the proportion equation
3,175,468,972.87 : 4,382,150,815.57 = 1,765,742,668.42 : x - Step 2: Convert to fraction form
3,175,468,972.87/4,382,150,815.57 = 1,765,742,668.42/x - Step 3: Cross multiply
3,175,468,972.87x = 4,382,150,815.57 × 1,765,742,668.42 - Step 4: Simplify right side
3,175,468,972.87x = 7,737,750,674,481,540,096 - Step 5: Solve for x
x = 7,737,750,674,481,540,096/3,175,468,972.87 - Step 6: Final answer
x = 2,436,726,902.58
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.