Finding the Fourth Proportional to 2,374,489,568,146, 3,276,615,774,078.10 and 1,332,599,181,982.60
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Solution
The fourth proportional to 2,374,489,568,146, 3,276,615,774,078.10 and 1,332,599,181,982.60 is: 1,838,885,947,861.65
Step by Step Solution
- Step 1: Write the proportion equation
2,374,489,568,146 : 3,276,615,774,078.10 = 1,332,599,181,982.60 : x - Step 2: Convert to fraction form
2,374,489,568,146/3,276,615,774,078.10 = 1,332,599,181,982.60/x - Step 3: Cross multiply
2,374,489,568,146x = 3,276,615,774,078.10 × 1,332,599,181,982.60 - Step 4: Simplify right side
2,374,489,568,146x = 4,366,415,500,207,759,990,718,464 - Step 5: Solve for x
x = 4,366,415,500,207,759,990,718,464/2,374,489,568,146 - Step 6: Final answer
x = 1,838,885,947,861.65
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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.