Finding the Fourth Proportional to 99,390,942,952.49, 149,107,355,583.39 and 32,232,951,407.76
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Solution
The fourth proportional to 99,390,942,952.49, 149,107,355,583.39 and 32,232,951,407.76 is: 48,356,218,426.83
Step by Step Solution
- Step 1: Write the proportion equation
99,390,942,952.49 : 149,107,355,583.39 = 32,232,951,407.76 : x - Step 2: Convert to fraction form
99,390,942,952.49/149,107,355,583.39 = 32,232,951,407.76/x - Step 3: Cross multiply
99,390,942,952.49x = 149,107,355,583.39 × 32,232,951,407.76 - Step 4: Simplify right side
99,390,942,952.49x = 4,806,170,147,059,449,987,072 - Step 5: Solve for x
x = 4,806,170,147,059,449,987,072/99,390,942,952.49 - Step 6: Final answer
x = 48,356,218,426.83
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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.