Finding the Fourth Proportional to 99,390,942,958.86, 149,107,355,592.96 and 32,232,951,414.14
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Solution
The fourth proportional to 99,390,942,958.86, 149,107,355,592.96 and 32,232,951,414.14 is: 48,356,218,436.40
Step by Step Solution
- Step 1: Write the proportion equation
99,390,942,958.86 : 149,107,355,592.96 = 32,232,951,414.14 : x - Step 2: Convert to fraction form
99,390,942,958.86/149,107,355,592.96 = 32,232,951,414.14/x - Step 3: Cross multiply
99,390,942,958.86x = 149,107,355,592.96 × 32,232,951,414.14 - Step 4: Simplify right side
99,390,942,958.86x = 4,806,170,148,318,775,083,008 - Step 5: Solve for x
x = 4,806,170,148,318,775,083,008/99,390,942,958.86 - Step 6: Final answer
x = 48,356,218,436.40
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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.