Finding the Fourth Proportional to 32,754,454,709,676, 45,202,568,364,000 and 18,138,726,196,781
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Solution
The fourth proportional to 32,754,454,709,676, 45,202,568,364,000 and 18,138,726,196,781 is: 25,032,228,996,432.02
Step by Step Solution
- Step 1: Write the proportion equation
32,754,454,709,676 : 45,202,568,364,000 = 18,138,726,196,781 : x - Step 2: Convert to fraction form
32,754,454,709,676/45,202,568,364,000 = 18,138,726,196,781/x - Step 3: Cross multiply
32,754,454,709,676x = 45,202,568,364,000 × 18,138,726,196,781 - Step 4: Simplify right side
32,754,454,709,676x = 819,917,010,945,870,936,408,064,000 - Step 5: Solve for x
x = 819,917,010,945,870,936,408,064,000/32,754,454,709,676 - Step 6: Final answer
x = 25,032,228,996,432.02
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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.