Finding the Fourth Proportional to 3,020,303,818,879.60, 4,531,170,247,201.40 and 980,534,944,294.56
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Solution
The fourth proportional to 3,020,303,818,879.60, 4,531,170,247,201.40 and 980,534,944,294.56 is: 1,471,034,383,414.10
Step by Step Solution
- Step 1: Write the proportion equation
3,020,303,818,879.60 : 4,531,170,247,201.40 = 980,534,944,294.56 : x - Step 2: Convert to fraction form
3,020,303,818,879.60/4,531,170,247,201.40 = 980,534,944,294.56/x - Step 3: Cross multiply
3,020,303,818,879.60x = 4,531,170,247,201.40 × 980,534,944,294.56 - Step 4: Simplify right side
3,020,303,818,879.60x = 4,442,970,765,928,792,946,900,992 - Step 5: Solve for x
x = 4,442,970,765,928,792,946,900,992/3,020,303,818,879.60 - Step 6: Final answer
x = 1,471,034,383,414.10
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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.