Finding the Fourth Proportional to 20,120,378,414.58, 27,765,313,817.63 and 10,964,712,833.09
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Solution
The fourth proportional to 20,120,378,414.58, 27,765,313,817.63 and 10,964,712,833.09 is: 15,130,863,170.56
Step by Step Solution
- Step 1: Write the proportion equation
20,120,378,414.58 : 27,765,313,817.63 = 10,964,712,833.09 : x - Step 2: Convert to fraction form
20,120,378,414.58/27,765,313,817.63 = 10,964,712,833.09/x - Step 3: Cross multiply
20,120,378,414.58x = 27,765,313,817.63 × 10,964,712,833.09 - Step 4: Simplify right side
20,120,378,414.58x = 304,438,692,730,938,785,792 - Step 5: Solve for x
x = 304,438,692,730,938,785,792/20,120,378,414.58 - Step 6: Final answer
x = 15,130,863,170.56
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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.