Finding the Fourth Proportional to 4,198,405,378, 5,793,761,278.37 and 2,293,166,457.14
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Solution
The fourth proportional to 4,198,405,378, 5,793,761,278.37 and 2,293,166,457.14 is: 3,164,548,877.02
Step by Step Solution
- Step 1: Write the proportion equation
4,198,405,378 : 5,793,761,278.37 = 2,293,166,457.14 : x - Step 2: Convert to fraction form
4,198,405,378/5,793,761,278.37 = 2,293,166,457.14/x - Step 3: Cross multiply
4,198,405,378x = 5,793,761,278.37 × 2,293,166,457.14 - Step 4: Simplify right side
4,198,405,378x = 13,286,059,024,234,649,600 - Step 5: Solve for x
x = 13,286,059,024,234,649,600/4,198,405,378 - Step 6: Final answer
x = 3,164,548,877.02
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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.