Finding the Fourth Proportional to 180,200,567,626.92, 248,883,172,213.86 and 118,676,165,640.84
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Solution
The fourth proportional to 180,200,567,626.92, 248,883,172,213.86 and 118,676,165,640.84 is: 163,909,031,807.39
Step by Step Solution
- Step 1: Write the proportion equation
180,200,567,626.92 : 248,883,172,213.86 = 118,676,165,640.84 : x - Step 2: Convert to fraction form
180,200,567,626.92/248,883,172,213.86 = 118,676,165,640.84/x - Step 3: Cross multiply
180,200,567,626.92x = 248,883,172,213.86 × 118,676,165,640.84 - Step 4: Simplify right side
180,200,567,626.92x = 29,536,500,570,869,752,397,824 - Step 5: Solve for x
x = 29,536,500,570,869,752,397,824/180,200,567,626.92 - Step 6: Final answer
x = 163,909,031,807.39
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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.