Finding the Fourth Proportional to 32,754,454,709,691, 45,202,568,364,018 and 18,138,726,196,800
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Solution
The fourth proportional to 32,754,454,709,691, 45,202,568,364,018 and 18,138,726,196,800 is: 25,032,228,996,456.74
Step by Step Solution
- Step 1: Write the proportion equation
32,754,454,709,691 : 45,202,568,364,018 = 18,138,726,196,800 : x - Step 2: Convert to fraction form
32,754,454,709,691/45,202,568,364,018 = 18,138,726,196,800/x - Step 3: Cross multiply
32,754,454,709,691x = 45,202,568,364,018 × 18,138,726,196,800 - Step 4: Simplify right side
32,754,454,709,691x = 819,917,010,947,056,209,942,806,528 - Step 5: Solve for x
x = 819,917,010,947,056,209,942,806,528/32,754,454,709,691 - Step 6: Final answer
x = 25,032,228,996,456.74
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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.