Finding the Fourth Proportional to 2,274,690,013,118.20, 3,411,987,216,177.20 and 553,647,953,785.42
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Solution
The fourth proportional to 2,274,690,013,118.20, 3,411,987,216,177.20 and 553,647,953,785.42 is: 830,460,295,549.89
Step by Step Solution
- Step 1: Write the proportion equation
2,274,690,013,118.20 : 3,411,987,216,177.20 = 553,647,953,785.42 : x - Step 2: Convert to fraction form
2,274,690,013,118.20/3,411,987,216,177.20 = 553,647,953,785.42/x - Step 3: Cross multiply
2,274,690,013,118.20x = 3,411,987,216,177.20 × 553,647,953,785.42 - Step 4: Simplify right side
2,274,690,013,118.20x = 1,889,039,740,578,518,527,901,696 - Step 5: Solve for x
x = 1,889,039,740,578,518,527,901,696/2,274,690,013,118.20 - Step 6: Final answer
x = 830,460,295,549.89
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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.