Finding the Fourth Proportional to 146,118,126.16, 201,640,542.76 and 80,926,630.48
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Solution
The fourth proportional to 146,118,126.16, 201,640,542.76 and 80,926,630.48 is: 111,677,381.33
Step by Step Solution
- Step 1: Write the proportion equation
146,118,126.16 : 201,640,542.76 = 80,926,630.48 : x - Step 2: Convert to fraction form
146,118,126.16/201,640,542.76 = 80,926,630.48/x - Step 3: Cross multiply
146,118,126.16x = 201,640,542.76 × 80,926,630.48 - Step 4: Simplify right side
146,118,126.16x = 16,318,089,693,725,160 - Step 5: Solve for x
x = 16,318,089,693,725,160/146,118,126.16 - Step 6: Final answer
x = 111,677,381.33
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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.