Finding the Fourth Proportional to 3,416,103,699.70, 5,113,951,882.35 and 2,035,207,405.30
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Solution
The fourth proportional to 3,416,103,699.70, 5,113,951,882.35 and 2,035,207,405.30 is: 3,046,732,083.17
Step by Step Solution
- Step 1: Write the proportion equation
3,416,103,699.70 : 5,113,951,882.35 = 2,035,207,405.30 : x - Step 2: Convert to fraction form
3,416,103,699.70/5,113,951,882.35 = 2,035,207,405.30/x - Step 3: Cross multiply
3,416,103,699.70x = 5,113,951,882.35 × 2,035,207,405.30 - Step 4: Simplify right side
3,416,103,699.70x = 10,407,952,741,306,595,328 - Step 5: Solve for x
x = 10,407,952,741,306,595,328/3,416,103,699.70 - Step 6: Final answer
x = 3,046,732,083.17
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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.