Finding the Fourth Proportional to 205,009,811,416.36, 307,402,614,042.36 and 162,785,941,941.12
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Solution
The fourth proportional to 205,009,811,416.36, 307,402,614,042.36 and 162,785,941,941.12 is: 244,089,898,606.95
Step by Step Solution
- Step 1: Write the proportion equation
205,009,811,416.36 : 307,402,614,042.36 = 162,785,941,941.12 : x - Step 2: Convert to fraction form
205,009,811,416.36/307,402,614,042.36 = 162,785,941,941.12/x - Step 3: Cross multiply
205,009,811,416.36x = 307,402,614,042.36 × 162,785,941,941.12 - Step 4: Simplify right side
205,009,811,416.36x = 50,040,824,082,048,131,006,464 - Step 5: Solve for x
x = 50,040,824,082,048,131,006,464/205,009,811,416.36 - Step 6: Final answer
x = 244,089,898,606.95
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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.