Finding the Fourth Proportional to 20,148,267,862,633, 30,225,423,680,080 and 7,076,727,882,593
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Solution
The fourth proportional to 20,148,267,862,633, 30,225,423,680,080 and 7,076,727,882,593 is: 10,616,153,208,718.38
Step by Step Solution
- Step 1: Write the proportion equation
20,148,267,862,633 : 30,225,423,680,080 = 7,076,727,882,593 : x - Step 2: Convert to fraction form
20,148,267,862,633/30,225,423,680,080 = 7,076,727,882,593/x - Step 3: Cross multiply
20,148,267,862,633x = 30,225,423,680,080 × 7,076,727,882,593 - Step 4: Simplify right side
20,148,267,862,633x = 213,897,098,520,008,844,225,019,904 - Step 5: Solve for x
x = 213,897,098,520,008,844,225,019,904/20,148,267,862,633 - Step 6: Final answer
x = 10,616,153,208,718.38
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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.