Finding the Fourth Proportional to 1,854,083,589,217.80, 2,781,442,228,159 and 764,384,900,201.84
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Solution
The fourth proportional to 1,854,083,589,217.80, 2,781,442,228,159 and 764,384,900,201.84 is: 1,146,707,976,033.30
Step by Step Solution
- Step 1: Write the proportion equation
1,854,083,589,217.80 : 2,781,442,228,159 = 764,384,900,201.84 : x - Step 2: Convert to fraction form
1,854,083,589,217.80/2,781,442,228,159 = 764,384,900,201.84/x - Step 3: Cross multiply
1,854,083,589,217.80x = 2,781,442,228,159 × 764,384,900,201.84 - Step 4: Simplify right side
1,854,083,589,217.80x = 2,126,092,439,988,500,730,740,736 - Step 5: Solve for x
x = 2,126,092,439,988,500,730,740,736/1,854,083,589,217.80 - Step 6: Final answer
x = 1,146,707,976,033.30
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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.