Finding the Fourth Proportional to 449,405,323,620.84, 620,246,496,245.40 and 353,780,987,836.92
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Solution
The fourth proportional to 449,405,323,620.84, 620,246,496,245.40 and 353,780,987,836.92 is: 488,270,624,780.62
Step by Step Solution
- Step 1: Write the proportion equation
449,405,323,620.84 : 620,246,496,245.40 = 353,780,987,836.92 : x - Step 2: Convert to fraction form
449,405,323,620.84/620,246,496,245.40 = 353,780,987,836.92/x - Step 3: Cross multiply
449,405,323,620.84x = 620,246,496,245.40 × 353,780,987,836.92 - Step 4: Simplify right side
449,405,323,620.84x = 219,431,418,144,086,114,172,928 - Step 5: Solve for x
x = 219,431,418,144,086,114,172,928/449,405,323,620.84 - Step 6: Final answer
x = 488,270,624,780.62
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.