Finding the Fourth Proportional to 1,293,005,844,231.80, 1,783,507,302,331.80 and 829,298,399,516.75
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Solution
The fourth proportional to 1,293,005,844,231.80, 1,783,507,302,331.80 and 829,298,399,516.75 is: 1,143,892,549,247.48
Step by Step Solution
- Step 1: Write the proportion equation
1,293,005,844,231.80 : 1,783,507,302,331.80 = 829,298,399,516.75 : x - Step 2: Convert to fraction form
1,293,005,844,231.80/1,783,507,302,331.80 = 829,298,399,516.75/x - Step 3: Cross multiply
1,293,005,844,231.80x = 1,783,507,302,331.80 × 829,298,399,516.75 - Step 4: Simplify right side
1,293,005,844,231.80x = 1,479,059,751,350,198,132,015,104 - Step 5: Solve for x
x = 1,479,059,751,350,198,132,015,104/1,293,005,844,231.80 - Step 6: Final answer
x = 1,143,892,549,247.48
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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.