Finding the Fourth Proportional to 5,463,880,838.10, 7,540,207,539.84 and 3,205,858,782.15
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Solution
The fourth proportional to 5,463,880,838.10, 7,540,207,539.84 and 3,205,858,782.15 is: 4,424,115,619.85
Step by Step Solution
- Step 1: Write the proportion equation
5,463,880,838.10 : 7,540,207,539.84 = 3,205,858,782.15 : x - Step 2: Convert to fraction form
5,463,880,838.10/7,540,207,539.84 = 3,205,858,782.15/x - Step 3: Cross multiply
5,463,880,838.10x = 7,540,207,539.84 × 3,205,858,782.15 - Step 4: Simplify right side
5,463,880,838.10x = 24,172,840,560,829,710,336 - Step 5: Solve for x
x = 24,172,840,560,829,710,336/5,463,880,838.10 - Step 6: Final answer
x = 4,424,115,619.85
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1.5x scale
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.