Finding the Fourth Proportional to 4,144,285,213.40, 6,219,651,446.45 and 2,892,584,102.12
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Solution
The fourth proportional to 4,144,285,213.40, 6,219,651,446.45 and 2,892,584,102.12 is: 4,341,126,145.60
Step by Step Solution
- Step 1: Write the proportion equation
4,144,285,213.40 : 6,219,651,446.45 = 2,892,584,102.12 : x - Step 2: Convert to fraction form
4,144,285,213.40/6,219,651,446.45 = 2,892,584,102.12/x - Step 3: Cross multiply
4,144,285,213.40x = 6,219,651,446.45 × 2,892,584,102.12 - Step 4: Simplify right side
4,144,285,213.40x = 17,990,864,894,728,931,328 - Step 5: Solve for x
x = 17,990,864,894,728,931,328/4,144,285,213.40 - Step 6: Final answer
x = 4,341,126,145.60
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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.