Finding the Fourth Proportional to 4,198,450,976.28, 6,297,700,006.74 and 1,400,411,838.12
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Solution
The fourth proportional to 4,198,450,976.28, 6,297,700,006.74 and 1,400,411,838.12 is: 2,100,625,609.82
Step by Step Solution
- Step 1: Write the proportion equation
4,198,450,976.28 : 6,297,700,006.74 = 1,400,411,838.12 : x - Step 2: Convert to fraction form
4,198,450,976.28/6,297,700,006.74 = 1,400,411,838.12/x - Step 3: Cross multiply
4,198,450,976.28x = 6,297,700,006.74 × 1,400,411,838.12 - Step 4: Simplify right side
4,198,450,976.28x = 8,819,373,642,367,098,880 - Step 5: Solve for x
x = 8,819,373,642,367,098,880/4,198,450,976.28 - Step 6: Final answer
x = 2,100,625,609.82
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1.5x scale
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.