Finding the Fourth Proportional to 4,959,101,744.20, 6,843,560,163.80 and 2,731,434,041.80
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Solution
The fourth proportional to 4,959,101,744.20, 6,843,560,163.80 and 2,731,434,041.80 is: 3,769,378,843.73
Step by Step Solution
- Step 1: Write the proportion equation
4,959,101,744.20 : 6,843,560,163.80 = 2,731,434,041.80 : x - Step 2: Convert to fraction form
4,959,101,744.20/6,843,560,163.80 = 2,731,434,041.80/x - Step 3: Cross multiply
4,959,101,744.20x = 6,843,560,163.80 × 2,731,434,041.80 - Step 4: Simplify right side
4,959,101,744.20x = 18,692,733,198,509,707,264 - Step 5: Solve for x
x = 18,692,733,198,509,707,264/4,959,101,744.20 - Step 6: Final answer
x = 3,769,378,843.73
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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.