Finding the Fourth Proportional to 161,424,587,465.10, 242,136,881,197.65 and 161,424,587,465.10
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Solution
The fourth proportional to 161,424,587,465.10, 242,136,881,197.65 and 161,424,587,465.10 is: 242,136,881,197.65
Step by Step Solution
- Step 1: Write the proportion equation
161,424,587,465.10 : 242,136,881,197.65 = 161,424,587,465.10 : x - Step 2: Convert to fraction form
161,424,587,465.10/242,136,881,197.65 = 161,424,587,465.10/x - Step 3: Cross multiply
161,424,587,465.10x = 242,136,881,197.65 × 161,424,587,465.10 - Step 4: Simplify right side
161,424,587,465.10x = 39,086,846,157,416,583,659,520 - Step 5: Solve for x
x = 39,086,846,157,416,583,659,520/161,424,587,465.10 - Step 6: Final answer
x = 242,136,881,197.65
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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.