Finding the Fourth Proportional to 229,971,474,998.44, 344,648,866,547.58 and 178,981,343,306.44
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Solution
The fourth proportional to 229,971,474,998.44, 344,648,866,547.58 and 178,981,343,306.44 is: 268,232,036,621.70
Step by Step Solution
- Step 1: Write the proportion equation
229,971,474,998.44 : 344,648,866,547.58 = 178,981,343,306.44 : x - Step 2: Convert to fraction form
229,971,474,998.44/344,648,866,547.58 = 178,981,343,306.44/x - Step 3: Cross multiply
229,971,474,998.44x = 344,648,866,547.58 × 178,981,343,306.44 - Step 4: Simplify right side
229,971,474,998.44x = 61,685,717,103,727,844,786,176 - Step 5: Solve for x
x = 61,685,717,103,727,844,786,176/229,971,474,998.44 - Step 6: Final answer
x = 268,232,036,621.70
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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.