Finding the Fourth Proportional to 2,729,537,892,768.20, 3,766,880,697,405 and 1,511,560,516,691.90
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Solution
The fourth proportional to 2,729,537,892,768.20, 3,766,880,697,405 and 1,511,560,516,691.90 is: 2,086,019,083,439.70
Step by Step Solution
- Step 1: Write the proportion equation
2,729,537,892,768.20 : 3,766,880,697,405 = 1,511,560,516,691.90 : x - Step 2: Convert to fraction form
2,729,537,892,768.20/3,766,880,697,405 = 1,511,560,516,691.90/x - Step 3: Cross multiply
2,729,537,892,768.20x = 3,766,880,697,405 × 1,511,560,516,691.90 - Step 4: Simplify right side
2,729,537,892,768.20x = 5,693,868,133,286,245,774,131,200 - Step 5: Solve for x
x = 5,693,868,133,286,245,774,131,200/2,729,537,892,768.20 - Step 6: Final answer
x = 2,086,019,083,439.70
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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.