Finding the Fourth Proportional to 296,103,455.69, 408,635,540.62 and 163,944,455.09
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Solution
The fourth proportional to 296,103,455.69, 408,635,540.62 and 163,944,455.09 is: 226,250,419.40
Step by Step Solution
- Step 1: Write the proportion equation
296,103,455.69 : 408,635,540.62 = 163,944,455.09 : x - Step 2: Convert to fraction form
296,103,455.69/408,635,540.62 = 163,944,455.09/x - Step 3: Cross multiply
296,103,455.69x = 408,635,540.62 × 163,944,455.09 - Step 4: Simplify right side
296,103,455.69x = 66,993,531,034,900,424 - Step 5: Solve for x
x = 66,993,531,034,900,424/296,103,455.69 - Step 6: Final answer
x = 226,250,419.40
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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.