Finding the Fourth Proportional to 83,609,856,302.40, 125,414,784,453.60 and 77,224,628,116.80
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Solution
The fourth proportional to 83,609,856,302.40, 125,414,784,453.60 and 77,224,628,116.80 is: 115,836,942,175.20
Step by Step Solution
- Step 1: Write the proportion equation
83,609,856,302.40 : 125,414,784,453.60 = 77,224,628,116.80 : x - Step 2: Convert to fraction form
83,609,856,302.40/125,414,784,453.60 = 77,224,628,116.80/x - Step 3: Cross multiply
83,609,856,302.40x = 125,414,784,453.60 × 77,224,628,116.80 - Step 4: Simplify right side
83,609,856,302.40x = 9,685,110,089,777,890,197,504 - Step 5: Solve for x
x = 9,685,110,089,777,890,197,504/83,609,856,302.40 - Step 6: Final answer
x = 115,836,942,175.20
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1.5x scale
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.