Finding the Fourth Proportional to 137,640,292,220.02, 206,460,438,330.03 and 137,640,292,220.02
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Solution
The fourth proportional to 137,640,292,220.02, 206,460,438,330.03 and 137,640,292,220.02 is: 206,460,438,330.03
Step by Step Solution
- Step 1: Write the proportion equation
137,640,292,220.02 : 206,460,438,330.03 = 137,640,292,220.02 : x - Step 2: Convert to fraction form
137,640,292,220.02/206,460,438,330.03 = 137,640,292,220.02/x - Step 3: Cross multiply
137,640,292,220.02x = 206,460,438,330.03 × 137,640,292,220.02 - Step 4: Simplify right side
137,640,292,220.02x = 28,417,275,063,618,743,828,480 - Step 5: Solve for x
x = 28,417,275,063,618,743,828,480/137,640,292,220.02 - Step 6: Final answer
x = 206,460,438,330.03
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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.