Finding the Fourth Proportional to 2,902,675,034.82, 4,006,031,617.14 and 1,649,800,220.12
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Solution
The fourth proportional to 2,902,675,034.82, 4,006,031,617.14 and 1,649,800,220.12 is: 2,276,917,589.63
Step by Step Solution
- Step 1: Write the proportion equation
2,902,675,034.82 : 4,006,031,617.14 = 1,649,800,220.12 : x - Step 2: Convert to fraction form
2,902,675,034.82/4,006,031,617.14 = 1,649,800,220.12/x - Step 3: Cross multiply
2,902,675,034.82x = 4,006,031,617.14 × 1,649,800,220.12 - Step 4: Simplify right side
2,902,675,034.82x = 6,609,151,843,765,251,072 - Step 5: Solve for x
x = 6,609,151,843,765,251,072/2,902,675,034.82 - Step 6: Final answer
x = 2,276,917,589.63
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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.