Finding the Fourth Proportional to 209,952,163.20, 314,928,244.80 and 202,299,412.80
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Solution
The fourth proportional to 209,952,163.20, 314,928,244.80 and 202,299,412.80 is: 303,449,119.20
Step by Step Solution
- Step 1: Write the proportion equation
209,952,163.20 : 314,928,244.80 = 202,299,412.80 : x - Step 2: Convert to fraction form
209,952,163.20/314,928,244.80 = 202,299,412.80/x - Step 3: Cross multiply
209,952,163.20x = 314,928,244.80 × 202,299,412.80 - Step 4: Simplify right side
209,952,163.20x = 63,709,798,997,174,656 - Step 5: Solve for x
x = 63,709,798,997,174,656/209,952,163.20 - Step 6: Final answer
x = 303,449,119.20
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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.