Finding the Fourth Proportional to 3,771,419,124,178.30, 5,657,128,679,921.70 and 906,234,912,899.80
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Solution
The fourth proportional to 3,771,419,124,178.30, 5,657,128,679,921.70 and 906,234,912,899.80 is: 1,359,352,367,824.88
Step by Step Solution
- Step 1: Write the proportion equation
3,771,419,124,178.30 : 5,657,128,679,921.70 = 906,234,912,899.80 : x - Step 2: Convert to fraction form
3,771,419,124,178.30/5,657,128,679,921.70 = 906,234,912,899.80/x - Step 3: Cross multiply
3,771,419,124,178.30x = 5,657,128,679,921.70 × 906,234,912,899.80 - Step 4: Simplify right side
3,771,419,124,178.30x = 5,126,687,516,511,803,113,734,144 - Step 5: Solve for x
x = 5,126,687,516,511,803,113,734,144/3,771,419,124,178.30 - Step 6: Final answer
x = 1,359,352,367,824.88
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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.