Finding the Fourth Proportional to 76,382,873,617.41, 105,403,616,163.20 and 42,086,660,924.79
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Solution
The fourth proportional to 76,382,873,617.41, 105,403,616,163.20 and 42,086,660,924.79 is: 58,076,975,159.73
Step by Step Solution
- Step 1: Write the proportion equation
76,382,873,617.41 : 105,403,616,163.20 = 42,086,660,924.79 : x - Step 2: Convert to fraction form
76,382,873,617.41/105,403,616,163.20 = 42,086,660,924.79/x - Step 3: Cross multiply
76,382,873,617.41x = 105,403,616,163.20 × 42,086,660,924.79 - Step 4: Simplify right side
76,382,873,617.41x = 4,436,086,253,707,102,519,296 - Step 5: Solve for x
x = 4,436,086,253,707,102,519,296/76,382,873,617.41 - Step 6: Final answer
x = 58,076,975,159.73
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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.