Finding the Fourth Proportional to 149,086,414,433.24, 223,661,033,381.84 and 48,349,427,116.14
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Solution
The fourth proportional to 149,086,414,433.24, 223,661,033,381.84 and 48,349,427,116.14 is: 72,534,327,646.99
Step by Step Solution
- Step 1: Write the proportion equation
149,086,414,433.24 : 223,661,033,381.84 = 48,349,427,116.14 : x - Step 2: Convert to fraction form
149,086,414,433.24/223,661,033,381.84 = 48,349,427,116.14/x - Step 3: Cross multiply
149,086,414,433.24x = 223,661,033,381.84 × 48,349,427,116.14 - Step 4: Simplify right side
149,086,414,433.24x = 10,813,882,832,215,827,546,112 - Step 5: Solve for x
x = 10,813,882,832,215,827,546,112/149,086,414,433.24 - Step 6: Final answer
x = 72,534,327,646.99
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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.