Finding the Fourth Proportional to 27,530,874,825,600, 38,009,756,494,050 and 17,525,014,852,108
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Solution
The fourth proportional to 27,530,874,825,600, 38,009,756,494,050 and 17,525,014,852,108 is: 24,195,436,988,578.06
Step by Step Solution
- Step 1: Write the proportion equation
27,530,874,825,600 : 38,009,756,494,050 = 17,525,014,852,108 : x - Step 2: Convert to fraction form
27,530,874,825,600/38,009,756,494,050 = 17,525,014,852,108/x - Step 3: Cross multiply
27,530,874,825,600x = 38,009,756,494,050 × 17,525,014,852,108 - Step 4: Simplify right side
27,530,874,825,600x = 666,121,547,083,234,706,362,204,160 - Step 5: Solve for x
x = 666,121,547,083,234,706,362,204,160/27,530,874,825,600 - Step 6: Final answer
x = 24,195,436,988,578.06
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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.