Finding the Fourth Proportional to 7,772,785,639,134.80, 10,726,781,359,846 and 4,304,404,751,797.20
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Solution
The fourth proportional to 7,772,785,639,134.80, 10,726,781,359,846 and 4,304,404,751,797.20 is: 5,940,265,279,456.53
Step by Step Solution
- Step 1: Write the proportion equation
7,772,785,639,134.80 : 10,726,781,359,846 = 4,304,404,751,797.20 : x - Step 2: Convert to fraction form
7,772,785,639,134.80/10,726,781,359,846 = 4,304,404,751,797.20/x - Step 3: Cross multiply
7,772,785,639,134.80x = 10,726,781,359,846 × 4,304,404,751,797.20 - Step 4: Simplify right side
7,772,785,639,134.80x = 46,172,408,656,810,754,441,216,000 - Step 5: Solve for x
x = 46,172,408,656,810,754,441,216,000/7,772,785,639,134.80 - Step 6: Final answer
x = 5,940,265,279,456.53
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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.