Finding the Fourth Proportional to 3,330,195,146,843, 4,991,767,137,716.70 and 1,120,167,423,239.90
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Solution
The fourth proportional to 3,330,195,146,843, 4,991,767,137,716.70 and 1,120,167,423,239.90 is: 1,679,065,245,581.94
Step by Step Solution
- Step 1: Write the proportion equation
3,330,195,146,843 : 4,991,767,137,716.70 = 1,120,167,423,239.90 : x - Step 2: Convert to fraction form
3,330,195,146,843/4,991,767,137,716.70 = 1,120,167,423,239.90/x - Step 3: Cross multiply
3,330,195,146,843x = 4,991,767,137,716.70 × 1,120,167,423,239.90 - Step 4: Simplify right side
3,330,195,146,843x = 5,591,614,932,069,726,833,082,368 - Step 5: Solve for x
x = 5,591,614,932,069,726,833,082,368/3,330,195,146,843 - Step 6: Final answer
x = 1,679,065,245,581.94
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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.