Finding the Fourth Proportional to 727,207,479,016.20, 1,003,379,874,304.10 and 434,175,474,618.53
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Solution
The fourth proportional to 727,207,479,016.20, 1,003,379,874,304.10 and 434,175,474,618.53 is: 599,062,778,806.98
Step by Step Solution
- Step 1: Write the proportion equation
727,207,479,016.20 : 1,003,379,874,304.10 = 434,175,474,618.53 : x - Step 2: Convert to fraction form
727,207,479,016.20/1,003,379,874,304.10 = 434,175,474,618.53/x - Step 3: Cross multiply
727,207,479,016.20x = 1,003,379,874,304.10 × 434,175,474,618.53 - Step 4: Simplify right side
727,207,479,016.20x = 435,642,933,148,663,614,013,440 - Step 5: Solve for x
x = 435,642,933,148,663,614,013,440/727,207,479,016.20 - Step 6: Final answer
x = 599,062,778,806.98
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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.