Finding the Fourth Proportional to 171,104,350,432.08, 236,148,558,286.32 and 102,518,472,121.68
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Solution
The fourth proportional to 171,104,350,432.08, 236,148,558,286.32 and 102,518,472,121.68 is: 141,490,203,657.10
Step by Step Solution
- Step 1: Write the proportion equation
171,104,350,432.08 : 236,148,558,286.32 = 102,518,472,121.68 : x - Step 2: Convert to fraction form
171,104,350,432.08/236,148,558,286.32 = 102,518,472,121.68/x - Step 3: Cross multiply
171,104,350,432.08x = 236,148,558,286.32 × 102,518,472,121.68 - Step 4: Simplify right side
171,104,350,432.08x = 24,209,589,389,251,022,159,872 - Step 5: Solve for x
x = 24,209,589,389,251,022,159,872/171,104,350,432.08 - Step 6: Final answer
x = 141,490,203,657.10
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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.