Finding the Fourth Proportional to 201,744,073.20, 302,616,109.80 and 201,744,073.20
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Solution
The fourth proportional to 201,744,073.20, 302,616,109.80 and 201,744,073.20 is: 302,616,109.80
Step by Step Solution
- Step 1: Write the proportion equation
201,744,073.20 : 302,616,109.80 = 201,744,073.20 : x - Step 2: Convert to fraction form
201,744,073.20/302,616,109.80 = 201,744,073.20/x - Step 3: Cross multiply
201,744,073.20x = 302,616,109.80 × 201,744,073.20 - Step 4: Simplify right side
201,744,073.20x = 61,051,006,606,990,440 - Step 5: Solve for x
x = 61,051,006,606,990,440/201,744,073.20 - Step 6: Final answer
x = 302,616,109.80
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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.