Finding the Fourth Proportional to 76,382,873,649.56, 105,403,616,207.33 and 42,086,660,956.95
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Solution
The fourth proportional to 76,382,873,649.56, 105,403,616,207.33 and 42,086,660,956.95 is: 58,076,975,203.99
Step by Step Solution
- Step 1: Write the proportion equation
76,382,873,649.56 : 105,403,616,207.33 = 42,086,660,956.95 : x - Step 2: Convert to fraction form
76,382,873,649.56/105,403,616,207.33 = 42,086,660,956.95/x - Step 3: Cross multiply
76,382,873,649.56x = 105,403,616,207.33 × 42,086,660,956.95 - Step 4: Simplify right side
76,382,873,649.56x = 4,436,086,258,954,377,625,600 - Step 5: Solve for x
x = 4,436,086,258,954,377,625,600/76,382,873,649.56 - Step 6: Final answer
x = 58,076,975,203.99
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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.