Finding the Fourth Proportional to 80,071,386,819.36, 110,491,210,241.37 and 47,512,989,352.68
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Solution
The fourth proportional to 80,071,386,819.36, 110,491,210,241.37 and 47,512,989,352.68 is: 65,563,591,493.75
Step by Step Solution
- Step 1: Write the proportion equation
80,071,386,819.36 : 110,491,210,241.37 = 47,512,989,352.68 : x - Step 2: Convert to fraction form
80,071,386,819.36/110,491,210,241.37 = 47,512,989,352.68/x - Step 3: Cross multiply
80,071,386,819.36x = 110,491,210,241.37 × 47,512,989,352.68 - Step 4: Simplify right side
80,071,386,819.36x = 5,249,767,695,762,939,969,536 - Step 5: Solve for x
x = 5,249,767,695,762,939,969,536/80,071,386,819.36 - Step 6: Final answer
x = 65,563,591,493.75
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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.