Finding the Fourth Proportional to 4,221,260,493,876, 6,329,000,078,212.20 and 2,149,656,471,691.40
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Solution
The fourth proportional to 4,221,260,493,876, 6,329,000,078,212.20 and 2,149,656,471,691.40 is: 3,223,012,651,600.62
Step by Step Solution
- Step 1: Write the proportion equation
4,221,260,493,876 : 6,329,000,078,212.20 = 2,149,656,471,691.40 : x - Step 2: Convert to fraction form
4,221,260,493,876/6,329,000,078,212.20 = 2,149,656,471,691.40/x - Step 3: Cross multiply
4,221,260,493,876x = 6,329,000,078,212.20 × 2,149,656,471,691.40 - Step 4: Simplify right side
4,221,260,493,876x = 13,605,175,977,464,231,941,373,952 - Step 5: Solve for x
x = 13,605,175,977,464,231,941,373,952/4,221,260,493,876 - Step 6: Final answer
x = 3,223,012,651,600.62
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.