Finding the Fourth Proportional to 242,310,281,229.16, 363,472,826,474.16 and 83,131,147,761.11
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Solution
The fourth proportional to 242,310,281,229.16, 363,472,826,474.16 and 83,131,147,761.11 is: 124,699,262,001.99
Step by Step Solution
- Step 1: Write the proportion equation
242,310,281,229.16 : 363,472,826,474.16 = 83,131,147,761.11 : x - Step 2: Convert to fraction form
242,310,281,229.16/363,472,826,474.16 = 83,131,147,761.11/x - Step 3: Cross multiply
242,310,281,229.16x = 363,472,826,474.16 × 83,131,147,761.11 - Step 4: Simplify right side
242,310,281,229.16x = 30,215,913,244,769,868,840,960 - Step 5: Solve for x
x = 30,215,913,244,769,868,840,960/242,310,281,229.16 - Step 6: Final answer
x = 124,699,262,001.99
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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.