Finding the Fourth Proportional to 870,542,485,999.05, 1,201,352,259,310.40 and 479,900,467,943.19
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Solution
The fourth proportional to 870,542,485,999.05, 1,201,352,259,310.40 and 479,900,467,943.19 is: 662,264,646,102.87
Step by Step Solution
- Step 1: Write the proportion equation
870,542,485,999.05 : 1,201,352,259,310.40 = 479,900,467,943.19 : x - Step 2: Convert to fraction form
870,542,485,999.05/1,201,352,259,310.40 = 479,900,467,943.19/x - Step 3: Cross multiply
870,542,485,999.05x = 1,201,352,259,310.40 × 479,900,467,943.19 - Step 4: Simplify right side
870,542,485,999.05x = 576,529,511,407,669,473,181,696 - Step 5: Solve for x
x = 576,529,511,407,669,473,181,696/870,542,485,999.05 - Step 6: Final answer
x = 662,264,646,102.87
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.