Finding the Fourth Proportional to 299,998,381,905.22, 413,998,176,997.46 and 162,821,210,249.03
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Solution
The fourth proportional to 299,998,381,905.22, 413,998,176,997.46 and 162,821,210,249.03 is: 224,693,492,649.95
Step by Step Solution
- Step 1: Write the proportion equation
299,998,381,905.22 : 413,998,176,997.46 = 162,821,210,249.03 : x - Step 2: Convert to fraction form
299,998,381,905.22/413,998,176,997.46 = 162,821,210,249.03/x - Step 3: Cross multiply
299,998,381,905.22x = 413,998,176,997.46 × 162,821,210,249.03 - Step 4: Simplify right side
299,998,381,905.22x = 67,407,684,219,618,577,088,512 - Step 5: Solve for x
x = 67,407,684,219,618,577,088,512/299,998,381,905.22 - Step 6: Final answer
x = 224,693,492,649.95
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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.