Finding the Fourth Proportional to 3,400,894,736.20, 5,101,342,104.30 and 3,207,184,491.70
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Solution
The fourth proportional to 3,400,894,736.20, 5,101,342,104.30 and 3,207,184,491.70 is: 4,810,776,737.55
Step by Step Solution
- Step 1: Write the proportion equation
3,400,894,736.20 : 5,101,342,104.30 = 3,207,184,491.70 : x - Step 2: Convert to fraction form
3,400,894,736.20/5,101,342,104.30 = 3,207,184,491.70/x - Step 3: Cross multiply
3,400,894,736.20x = 5,101,342,104.30 × 3,207,184,491.70 - Step 4: Simplify right side
3,400,894,736.20x = 16,360,945,283,767,203,840 - Step 5: Solve for x
x = 16,360,945,283,767,203,840/3,400,894,736.20 - Step 6: Final answer
x = 4,810,776,737.55
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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.