Finding the Fourth Proportional to 171,104,350,436.08, 236,148,558,291.84 and 102,518,472,125.68
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Solution
The fourth proportional to 171,104,350,436.08, 236,148,558,291.84 and 102,518,472,125.68 is: 141,490,203,662.62
Step by Step Solution
- Step 1: Write the proportion equation
171,104,350,436.08 : 236,148,558,291.84 = 102,518,472,125.68 : x - Step 2: Convert to fraction form
171,104,350,436.08/236,148,558,291.84 = 102,518,472,125.68/x - Step 3: Cross multiply
171,104,350,436.08x = 236,148,558,291.84 × 102,518,472,125.68 - Step 4: Simplify right side
171,104,350,436.08x = 24,209,589,390,761,516,859,392 - Step 5: Solve for x
x = 24,209,589,390,761,516,859,392/171,104,350,436.08 - Step 6: Final answer
x = 141,490,203,662.62
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1.5x scale
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.