Finding the Fourth Proportional to 180,166,514.70, 270,249,772.05 and 103,639,010.70
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Solution
The fourth proportional to 180,166,514.70, 270,249,772.05 and 103,639,010.70 is: 155,458,516.05
Step by Step Solution
- Step 1: Write the proportion equation
180,166,514.70 : 270,249,772.05 = 103,639,010.70 : x - Step 2: Convert to fraction form
180,166,514.70/270,249,772.05 = 103,639,010.70/x - Step 3: Cross multiply
180,166,514.70x = 270,249,772.05 × 103,639,010.70 - Step 4: Simplify right side
180,166,514.70x = 28,008,419,017,162,512 - Step 5: Solve for x
x = 28,008,419,017,162,512/180,166,514.70 - Step 6: Final answer
x = 155,458,516.05
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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.