Finding the Fourth Proportional to 203,211,410,361.06, 304,886,998,764.81 and 119,435,232,379.62
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Solution
The fourth proportional to 203,211,410,361.06, 304,886,998,764.81 and 119,435,232,379.62 is: 179,193,921,651.84
Step by Step Solution
- Step 1: Write the proportion equation
203,211,410,361.06 : 304,886,998,764.81 = 119,435,232,379.62 : x - Step 2: Convert to fraction form
203,211,410,361.06/304,886,998,764.81 = 119,435,232,379.62/x - Step 3: Cross multiply
203,211,410,361.06x = 304,886,998,764.81 × 119,435,232,379.62 - Step 4: Simplify right side
203,211,410,361.06x = 36,414,249,546,999,996,088,320 - Step 5: Solve for x
x = 36,414,249,546,999,996,088,320/203,211,410,361.06 - Step 6: Final answer
x = 179,193,921,651.84
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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.