Finding the Fourth Proportional to 3,033,302,311,905.70, 4,549,493,743,742.30 and 825,550,503,151.90
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Solution
The fourth proportional to 3,033,302,311,905.70, 4,549,493,743,742.30 and 825,550,503,151.90 is: 1,238,200,635,159.65
Step by Step Solution
- Step 1: Write the proportion equation
3,033,302,311,905.70 : 4,549,493,743,742.30 = 825,550,503,151.90 : x - Step 2: Convert to fraction form
3,033,302,311,905.70/4,549,493,743,742.30 = 825,550,503,151.90/x - Step 3: Cross multiply
3,033,302,311,905.70x = 4,549,493,743,742.30 × 825,550,503,151.90 - Step 4: Simplify right side
3,033,302,311,905.70x = 3,755,836,849,232,876,654,297,088 - Step 5: Solve for x
x = 3,755,836,849,232,876,654,297,088/3,033,302,311,905.70 - Step 6: Final answer
x = 1,238,200,635,159.65
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.