Finding the Fourth Proportional to 205,528,104,949.11, 283,605,781,640.88 and 114,080,510,112
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Solution
The fourth proportional to 205,528,104,949.11, 283,605,781,640.88 and 114,080,510,112 is: 157,418,335,795.56
Step by Step Solution
- Step 1: Write the proportion equation
205,528,104,949.11 : 283,605,781,640.88 = 114,080,510,112 : x - Step 2: Convert to fraction form
205,528,104,949.11/283,605,781,640.88 = 114,080,510,112/x - Step 3: Cross multiply
205,528,104,949.11x = 283,605,781,640.88 × 114,080,510,112 - Step 4: Simplify right side
205,528,104,949.11x = 32,353,892,240,304,073,867,264 - Step 5: Solve for x
x = 32,353,892,240,304,073,867,264/205,528,104,949.11 - Step 6: Final answer
x = 157,418,335,795.56
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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.