Finding the Fourth Proportional to 1,409,192,163.06, 1,944,685,123.34 and 782,718,883.44
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Solution
The fourth proportional to 1,409,192,163.06, 1,944,685,123.34 and 782,718,883.44 is: 1,080,152,024.89
Step by Step Solution
- Step 1: Write the proportion equation
1,409,192,163.06 : 1,944,685,123.34 = 782,718,883.44 : x - Step 2: Convert to fraction form
1,409,192,163.06/1,944,685,123.34 = 782,718,883.44/x - Step 3: Cross multiply
1,409,192,163.06x = 1,944,685,123.34 × 782,718,883.44 - Step 4: Simplify right side
1,409,192,163.06x = 1,522,141,768,383,063,552 - Step 5: Solve for x
x = 1,522,141,768,383,063,552/1,409,192,163.06 - Step 6: Final answer
x = 1,080,152,024.89
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.