Finding the Fourth Proportional to 3,207,962,465,271, 4,813,922,942,352.30 and 1,486,589,950,974.60
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Solution
The fourth proportional to 3,207,962,465,271, 4,813,922,942,352.30 and 1,486,589,950,974.60 is: 2,230,802,120,766.85
Step by Step Solution
- Step 1: Write the proportion equation
3,207,962,465,271 : 4,813,922,942,352.30 = 1,486,589,950,974.60 : x - Step 2: Convert to fraction form
3,207,962,465,271/4,813,922,942,352.30 = 1,486,589,950,974.60/x - Step 3: Cross multiply
3,207,962,465,271x = 4,813,922,942,352.30 × 1,486,589,950,974.60 - Step 4: Simplify right side
3,207,962,465,271x = 7,156,329,470,867,008,061,964,288 - Step 5: Solve for x
x = 7,156,329,470,867,008,061,964,288/3,207,962,465,271 - Step 6: Final answer
x = 2,230,802,120,766.85
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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.