Finding the Fourth Proportional to 9,180,768,974.96, 13,771,107,238.08 and 3,585,274,266.44
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Solution
The fourth proportional to 9,180,768,974.96, 13,771,107,238.08 and 3,585,274,266.44 is: 5,377,893,348.12
Step by Step Solution
- Step 1: Write the proportion equation
9,180,768,974.96 : 13,771,107,238.08 = 3,585,274,266.44 : x - Step 2: Convert to fraction form
9,180,768,974.96/13,771,107,238.08 = 3,585,274,266.44/x - Step 3: Cross multiply
9,180,768,974.96x = 13,771,107,238.08 × 3,585,274,266.44 - Step 4: Simplify right side
9,180,768,974.96x = 49,373,196,401,073,848,320 - Step 5: Solve for x
x = 49,373,196,401,073,848,320/9,180,768,974.96 - Step 6: Final answer
x = 5,377,893,348.12
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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.