Finding the Fourth Proportional to 137,640,348,567.09, 206,460,522,850.63 and 137,640,348,567.09
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Solution
The fourth proportional to 137,640,348,567.09, 206,460,522,850.63 and 137,640,348,567.09 is: 206,460,522,850.63
Step by Step Solution
- Step 1: Write the proportion equation
137,640,348,567.09 : 206,460,522,850.63 = 137,640,348,567.09 : x - Step 2: Convert to fraction form
137,640,348,567.09/206,460,522,850.63 = 137,640,348,567.09/x - Step 3: Cross multiply
137,640,348,567.09x = 206,460,522,850.63 × 137,640,348,567.09 - Step 4: Simplify right side
137,640,348,567.09x = 28,417,298,330,504,361,148,416 - Step 5: Solve for x
x = 28,417,298,330,504,361,148,416/137,640,348,567.09 - Step 6: Final answer
x = 206,460,522,850.63
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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.