Finding the Fourth Proportional to 68,154,976,970.26, 102,232,465,462.42 and 22,775,685,126.22
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Solution
The fourth proportional to 68,154,976,970.26, 102,232,465,462.42 and 22,775,685,126.22 is: 34,163,527,691.68
Step by Step Solution
- Step 1: Write the proportion equation
68,154,976,970.26 : 102,232,465,462.42 = 22,775,685,126.22 : x - Step 2: Convert to fraction form
68,154,976,970.26/102,232,465,462.42 = 22,775,685,126.22/x - Step 3: Cross multiply
68,154,976,970.26x = 102,232,465,462.42 × 22,775,685,126.22 - Step 4: Simplify right side
68,154,976,970.26x = 2,328,414,443,049,239,183,360 - Step 5: Solve for x
x = 2,328,414,443,049,239,183,360/68,154,976,970.26 - Step 6: Final answer
x = 34,163,527,691.68
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1.5x scale
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.