Finding the Fourth Proportional to 82,105,277,062.08, 113,305,283,313.12 and 44,555,781,766.08
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Solution
The fourth proportional to 82,105,277,062.08, 113,305,283,313.12 and 44,555,781,766.08 is: 61,486,979,362.19
Step by Step Solution
- Step 1: Write the proportion equation
82,105,277,062.08 : 113,305,283,313.12 = 44,555,781,766.08 : x - Step 2: Convert to fraction form
82,105,277,062.08/113,305,283,313.12 = 44,555,781,766.08/x - Step 3: Cross multiply
82,105,277,062.08x = 113,305,283,313.12 × 44,555,781,766.08 - Step 4: Simplify right side
82,105,277,062.08x = 5,048,405,476,243,240,124,416 - Step 5: Solve for x
x = 5,048,405,476,243,240,124,416/82,105,277,062.08 - Step 6: Final answer
x = 61,486,979,362.19
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.