Finding the Fourth Proportional to 1,461,467,861.60, 2,192,201,792.40 and 1,151,531,470.40
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Solution
The fourth proportional to 1,461,467,861.60, 2,192,201,792.40 and 1,151,531,470.40 is: 1,727,297,205.60
Step by Step Solution
- Step 1: Write the proportion equation
1,461,467,861.60 : 2,192,201,792.40 = 1,151,531,470.40 : x - Step 2: Convert to fraction form
1,461,467,861.60/2,192,201,792.40 = 1,151,531,470.40/x - Step 3: Cross multiply
1,461,467,861.60x = 2,192,201,792.40 × 1,151,531,470.40 - Step 4: Simplify right side
1,461,467,861.60x = 2,524,389,353,415,887,872 - Step 5: Solve for x
x = 2,524,389,353,415,887,872/1,461,467,861.60 - Step 6: Final answer
x = 1,727,297,205.60
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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.