Finding the Fourth Proportional to 27,757,879,977,920, 38,305,359,042,312 and 15,257,342,784,862
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Solution
The fourth proportional to 27,757,879,977,920, 38,305,359,042,312 and 15,257,342,784,862 is: 21,054,849,789,344.81
Step by Step Solution
- Step 1: Write the proportion equation
27,757,879,977,920 : 38,305,359,042,312 = 15,257,342,784,862 : x - Step 2: Convert to fraction form
27,757,879,977,920/38,305,359,042,312 = 15,257,342,784,862/x - Step 3: Cross multiply
27,757,879,977,920x = 38,305,359,042,312 × 15,257,342,784,862 - Step 4: Simplify right side
27,757,879,977,920x = 584,437,993,405,767,376,303,030,272 - Step 5: Solve for x
x = 584,437,993,405,767,376,303,030,272/27,757,879,977,920 - Step 6: Final answer
x = 21,054,849,789,344.81
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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.