Finding the Fourth Proportional to 135,655,208,207.10, 203,482,812,310.65 and 135,655,208,207.10
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Solution
The fourth proportional to 135,655,208,207.10, 203,482,812,310.65 and 135,655,208,207.10 is: 203,482,812,310.65
Step by Step Solution
- Step 1: Write the proportion equation
135,655,208,207.10 : 203,482,812,310.65 = 135,655,208,207.10 : x - Step 2: Convert to fraction form
135,655,208,207.10/203,482,812,310.65 = 135,655,208,207.10/x - Step 3: Cross multiply
135,655,208,207.10x = 203,482,812,310.65 × 135,655,208,207.10 - Step 4: Simplify right side
135,655,208,207.10x = 27,603,503,270,567,476,199,424 - Step 5: Solve for x
x = 27,603,503,270,567,476,199,424/135,655,208,207.10 - Step 6: Final answer
x = 203,482,812,310.65
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Similar ratio
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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.