Finding the Fourth Proportional to 176,497,512,414.60, 264,746,268,621.90 and 162,860,311,201.80
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Solution
The fourth proportional to 176,497,512,414.60, 264,746,268,621.90 and 162,860,311,201.80 is: 244,290,466,802.70
Step by Step Solution
- Step 1: Write the proportion equation
176,497,512,414.60 : 264,746,268,621.90 = 162,860,311,201.80 : x - Step 2: Convert to fraction form
176,497,512,414.60/264,746,268,621.90 = 162,860,311,201.80/x - Step 3: Cross multiply
176,497,512,414.60x = 264,746,268,621.90 × 162,860,311,201.80 - Step 4: Simplify right side
176,497,512,414.60x = 43,116,659,697,277,971,988,480 - Step 5: Solve for x
x = 43,116,659,697,277,971,988,480/176,497,512,414.60 - Step 6: Final answer
x = 244,290,466,802.70
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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.