Finding the Fourth Proportional to 4,195,817,140.80, 5,790,198,198.60 and 2,290,578,615.96
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Solution
The fourth proportional to 4,195,817,140.80, 5,790,198,198.60 and 2,290,578,615.96 is: 3,160,982,409.58
Step by Step Solution
- Step 1: Write the proportion equation
4,195,817,140.80 : 5,790,198,198.60 = 2,290,578,615.96 : x - Step 2: Convert to fraction form
4,195,817,140.80/5,790,198,198.60 = 2,290,578,615.96/x - Step 3: Cross multiply
4,195,817,140.80x = 5,790,198,198.60 × 2,290,578,615.96 - Step 4: Simplify right side
4,195,817,140.80x = 13,262,904,175,883,274,240 - Step 5: Solve for x
x = 13,262,904,175,883,274,240/4,195,817,140.80 - Step 6: Final answer
x = 3,160,982,409.58
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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.