Finding the Fourth Proportional to 3,416,103,694.70, 5,113,951,874.85 and 2,035,207,400.30
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Solution
The fourth proportional to 3,416,103,694.70, 5,113,951,874.85 and 2,035,207,400.30 is: 3,046,732,075.67
Step by Step Solution
- Step 1: Write the proportion equation
3,416,103,694.70 : 5,113,951,874.85 = 2,035,207,400.30 : x - Step 2: Convert to fraction form
3,416,103,694.70/5,113,951,874.85 = 2,035,207,400.30/x - Step 3: Cross multiply
3,416,103,694.70x = 5,113,951,874.85 × 2,035,207,400.30 - Step 4: Simplify right side
3,416,103,694.70x = 10,407,952,700,472,780,800 - Step 5: Solve for x
x = 10,407,952,700,472,780,800/3,416,103,694.70 - Step 6: Final answer
x = 3,046,732,075.67
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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.