Finding the Fourth Proportional to 4,062,827,737,537, 5,606,703,192,970.80 and 2,235,861,673,425.20
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Solution
The fourth proportional to 4,062,827,737,537, 5,606,703,192,970.80 and 2,235,861,673,425.20 is: 3,085,489,612,964.41
Step by Step Solution
- Step 1: Write the proportion equation
4,062,827,737,537 : 5,606,703,192,970.80 = 2,235,861,673,425.20 : x - Step 2: Convert to fraction form
4,062,827,737,537/5,606,703,192,970.80 = 2,235,861,673,425.20/x - Step 3: Cross multiply
4,062,827,737,537x = 5,606,703,192,970.80 × 2,235,861,673,425.20 - Step 4: Simplify right side
4,062,827,737,537x = 12,535,812,783,434,106,425,835,520 - Step 5: Solve for x
x = 12,535,812,783,434,106,425,835,520/4,062,827,737,537 - Step 6: Final answer
x = 3,085,489,612,964.41
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.