Finding the Fourth Proportional to 1,760,132,641,202.80, 2,640,198,961,804.20 and 629,484,686,105.20
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Solution
The fourth proportional to 1,760,132,641,202.80, 2,640,198,961,804.20 and 629,484,686,105.20 is: 944,227,029,157.80
Step by Step Solution
- Step 1: Write the proportion equation
1,760,132,641,202.80 : 2,640,198,961,804.20 = 629,484,686,105.20 : x - Step 2: Convert to fraction form
1,760,132,641,202.80/2,640,198,961,804.20 = 629,484,686,105.20/x - Step 3: Cross multiply
1,760,132,641,202.80x = 2,640,198,961,804.20 × 629,484,686,105.20 - Step 4: Simplify right side
1,760,132,641,202.80x = 1,661,964,814,726,591,833,702,400 - Step 5: Solve for x
x = 1,661,964,814,726,591,833,702,400/1,760,132,641,202.80 - Step 6: Final answer
x = 944,227,029,157.80
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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.