Finding the Fourth Proportional to 3,812,433,948.99, 5,715,375,704.82 and 1,324,971,702.54
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Solution
The fourth proportional to 3,812,433,948.99, 5,715,375,704.82 and 1,324,971,702.54 is: 1,986,319,285.68
Step by Step Solution
- Step 1: Write the proportion equation
3,812,433,948.99 : 5,715,375,704.82 = 1,324,971,702.54 : x - Step 2: Convert to fraction form
3,812,433,948.99/5,715,375,704.82 = 1,324,971,702.54/x - Step 3: Cross multiply
3,812,433,948.99x = 5,715,375,704.82 × 1,324,971,702.54 - Step 4: Simplify right side
3,812,433,948.99x = 7,572,711,078,271,107,072 - Step 5: Solve for x
x = 7,572,711,078,271,107,072/3,812,433,948.99 - Step 6: Final answer
x = 1,986,319,285.68
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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.