Finding the Fourth Proportional to 138,191,286,827.70, 207,286,930,241.55 and 138,191,286,827.70
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Solution
The fourth proportional to 138,191,286,827.70, 207,286,930,241.55 and 138,191,286,827.70 is: 207,286,930,241.55
Step by Step Solution
- Step 1: Write the proportion equation
138,191,286,827.70 : 207,286,930,241.55 = 138,191,286,827.70 : x - Step 2: Convert to fraction form
138,191,286,827.70/207,286,930,241.55 = 138,191,286,827.70/x - Step 3: Cross multiply
138,191,286,827.70x = 207,286,930,241.55 × 138,191,286,827.70 - Step 4: Simplify right side
138,191,286,827.70x = 28,645,247,632,643,477,995,520 - Step 5: Solve for x
x = 28,645,247,632,643,477,995,520/138,191,286,827.70 - Step 6: Final answer
x = 207,286,930,241.55
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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.