Finding the Fourth Proportional to 216,141,178.14, 298,269,297 and 120,772,450.44
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Solution
The fourth proportional to 216,141,178.14, 298,269,297 and 120,772,450.44 is: 166,662,892.28
Step by Step Solution
- Step 1: Write the proportion equation
216,141,178.14 : 298,269,297 = 120,772,450.44 : x - Step 2: Convert to fraction form
216,141,178.14/298,269,297 = 120,772,450.44/x - Step 3: Cross multiply
216,141,178.14x = 298,269,297 × 120,772,450.44 - Step 4: Simplify right side
216,141,178.14x = 36,022,713,889,706,140 - Step 5: Solve for x
x = 36,022,713,889,706,140/216,141,178.14 - Step 6: Final answer
x = 166,662,892.28
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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.