Finding the Fourth Proportional to 86,397,206,431.24, 119,227,266,458.60 and 47,816,201,589.76
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Solution
The fourth proportional to 86,397,206,431.24, 119,227,266,458.60 and 47,816,201,589.76 is: 65,985,872,037.63
Step by Step Solution
- Step 1: Write the proportion equation
86,397,206,431.24 : 119,227,266,458.60 = 47,816,201,589.76 : x - Step 2: Convert to fraction form
86,397,206,431.24/119,227,266,458.60 = 47,816,201,589.76/x - Step 3: Cross multiply
86,397,206,431.24x = 119,227,266,458.60 × 47,816,201,589.76 - Step 4: Simplify right side
86,397,206,431.24x = 5,700,995,007,980,448,514,048 - Step 5: Solve for x
x = 5,700,995,007,980,448,514,048/86,397,206,431.24 - Step 6: Final answer
x = 65,985,872,037.63
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1.5x scale
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.