Finding the Fourth Proportional to 4,112,278,515,277, 5,674,868,006,309.80 and 2,260,347,079,269.20
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Solution
The fourth proportional to 4,112,278,515,277, 5,674,868,006,309.80 and 2,260,347,079,269.20 is: 3,119,237,005,871.08
Step by Step Solution
- Step 1: Write the proportion equation
4,112,278,515,277 : 5,674,868,006,309.80 = 2,260,347,079,269.20 : x - Step 2: Convert to fraction form
4,112,278,515,277/5,674,868,006,309.80 = 2,260,347,079,269.20/x - Step 3: Cross multiply
4,112,278,515,277x = 5,674,868,006,309.80 × 2,260,347,079,269.20 - Step 4: Simplify right side
4,112,278,515,277x = 12,827,171,323,300,585,683,288,064 - Step 5: Solve for x
x = 12,827,171,323,300,585,683,288,064/4,112,278,515,277 - Step 6: Final answer
x = 3,119,237,005,871.08
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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.