Finding the Fourth Proportional to 3,374,543,278,991.20, 4,656,866,106,930 and 1,833,041,814,233.20
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Solution
The fourth proportional to 3,374,543,278,991.20, 4,656,866,106,930 and 1,833,041,814,233.20 is: 2,529,595,738,312.75
Step by Step Solution
- Step 1: Write the proportion equation
3,374,543,278,991.20 : 4,656,866,106,930 = 1,833,041,814,233.20 : x - Step 2: Convert to fraction form
3,374,543,278,991.20/4,656,866,106,930 = 1,833,041,814,233.20/x - Step 3: Cross multiply
3,374,543,278,991.20x = 4,656,866,106,930 × 1,833,041,814,233.20 - Step 4: Simplify right side
3,374,543,278,991.20x = 8,536,230,297,288,065,786,314,752 - Step 5: Solve for x
x = 8,536,230,297,288,065,786,314,752/3,374,543,278,991.20 - Step 6: Final answer
x = 2,529,595,738,312.75
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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.