Finding the Fourth Proportional to 757,364,290,775.25, 1,045,163,729,176.10 and 410,135,169,002.03
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Solution
The fourth proportional to 757,364,290,775.25, 1,045,163,729,176.10 and 410,135,169,002.03 is: 565,987,079,033.86
Step by Step Solution
- Step 1: Write the proportion equation
757,364,290,775.25 : 1,045,163,729,176.10 = 410,135,169,002.03 : x - Step 2: Convert to fraction form
757,364,290,775.25/1,045,163,729,176.10 = 410,135,169,002.03/x - Step 3: Cross multiply
757,364,290,775.25x = 1,045,163,729,176.10 × 410,135,169,002.03 - Step 4: Simplify right side
757,364,290,775.25x = 428,658,402,700,431,684,796,416 - Step 5: Solve for x
x = 428,658,402,700,431,684,796,416/757,364,290,775.25 - Step 6: Final answer
x = 565,987,079,033.86
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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.