Finding the Fourth Proportional to 37,902,315,526,401, 52,305,195,426,441 and 21,680,933,558,529
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Solution
The fourth proportional to 37,902,315,526,401, 52,305,195,426,441 and 21,680,933,558,529 is: 29,919,688,310,774.38
Step by Step Solution
- Step 1: Write the proportion equation
37,902,315,526,401 : 52,305,195,426,441 = 21,680,933,558,529 : x - Step 2: Convert to fraction form
37,902,315,526,401/52,305,195,426,441 = 21,680,933,558,529/x - Step 3: Cross multiply
37,902,315,526,401x = 52,305,195,426,441 × 21,680,933,558,529 - Step 4: Simplify right side
37,902,315,526,401x = 1,134,025,466,806,542,250,750,771,200 - Step 5: Solve for x
x = 1,134,025,466,806,542,250,750,771,200/37,902,315,526,401 - Step 6: Final answer
x = 29,919,688,310,774.38
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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.