Finding the Fourth Proportional to 3,098,239,232.91, 4,648,270,649.63 and 999,676,272.42
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Solution
The fourth proportional to 3,098,239,232.91, 4,648,270,649.63 and 999,676,272.42 is: 1,499,808,609.63
Step by Step Solution
- Step 1: Write the proportion equation
3,098,239,232.91 : 4,648,270,649.63 = 999,676,272.42 : x - Step 2: Convert to fraction form
3,098,239,232.91/4,648,270,649.63 = 999,676,272.42/x - Step 3: Cross multiply
3,098,239,232.91x = 4,648,270,649.63 × 999,676,272.42 - Step 4: Simplify right side
3,098,239,232.91x = 4,646,765,876,216,412,160 - Step 5: Solve for x
x = 4,646,765,876,216,412,160/3,098,239,232.91 - Step 6: Final answer
x = 1,499,808,609.63
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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.