Finding the Fourth Proportional to 5,161,138,135.10, 7,741,752,006.23 and 1,667,543,981.99
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Solution
The fourth proportional to 5,161,138,135.10, 7,741,752,006.23 and 1,667,543,981.99 is: 2,501,330,448.84
Step by Step Solution
- Step 1: Write the proportion equation
5,161,138,135.10 : 7,741,752,006.23 = 1,667,543,981.99 : x - Step 2: Convert to fraction form
5,161,138,135.10/7,741,752,006.23 = 1,667,543,981.99/x - Step 3: Cross multiply
5,161,138,135.10x = 7,741,752,006.23 × 1,667,543,981.99 - Step 4: Simplify right side
5,161,138,135.10x = 12,909,711,968,007,135,232 - Step 5: Solve for x
x = 12,909,711,968,007,135,232/5,161,138,135.10 - Step 6: Final answer
x = 2,501,330,448.84
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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.