Finding the Fourth Proportional to 1,487,959,020,043.70, 2,230,125,274,715.40 and 771,267,848,653.92
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Solution
The fourth proportional to 1,487,959,020,043.70, 2,230,125,274,715.40 and 771,267,848,653.92 is: 1,155,961,891,213.89
Step by Step Solution
- Step 1: Write the proportion equation
1,487,959,020,043.70 : 2,230,125,274,715.40 = 771,267,848,653.92 : x - Step 2: Convert to fraction form
1,487,959,020,043.70/2,230,125,274,715.40 = 771,267,848,653.92/x - Step 3: Cross multiply
1,487,959,020,043.70x = 2,230,125,274,715.40 × 771,267,848,653.92 - Step 4: Simplify right side
1,487,959,020,043.70x = 1,720,023,922,858,478,870,200,320 - Step 5: Solve for x
x = 1,720,023,922,858,478,870,200,320/1,487,959,020,043.70 - Step 6: Final answer
x = 1,155,961,891,213.89
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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.