Finding the Fourth Proportional to 206,460,438,343.08, 309,690,657,514.60 and 206,460,438,343.08
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Solution
The fourth proportional to 206,460,438,343.08, 309,690,657,514.60 and 206,460,438,343.08 is: 309,690,657,514.60
Step by Step Solution
- Step 1: Write the proportion equation
206,460,438,343.08 : 309,690,657,514.60 = 206,460,438,343.08 : x - Step 2: Convert to fraction form
206,460,438,343.08/309,690,657,514.60 = 206,460,438,343.08/x - Step 3: Cross multiply
206,460,438,343.08x = 309,690,657,514.60 × 206,460,438,343.08 - Step 4: Simplify right side
206,460,438,343.08x = 63,938,868,901,220,968,300,544 - Step 5: Solve for x
x = 63,938,868,901,220,968,300,544/206,460,438,343.08 - Step 6: Final answer
x = 309,690,657,514.60
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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.