Finding the Fourth Proportional to 27,843,431,927.19, 38,424,864,181.05 and 15,638,287,891.83
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Solution
The fourth proportional to 27,843,431,927.19, 38,424,864,181.05 and 15,638,287,891.83 is: 21,581,358,570.99
Step by Step Solution
- Step 1: Write the proportion equation
27,843,431,927.19 : 38,424,864,181.05 = 15,638,287,891.83 : x - Step 2: Convert to fraction form
27,843,431,927.19/38,424,864,181.05 = 15,638,287,891.83/x - Step 3: Cross multiply
27,843,431,927.19x = 38,424,864,181.05 × 15,638,287,891.83 - Step 4: Simplify right side
27,843,431,927.19x = 600,899,088,267,810,439,168 - Step 5: Solve for x
x = 600,899,088,267,810,439,168/27,843,431,927.19 - Step 6: Final answer
x = 21,581,358,570.99
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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.