Finding the Fourth Proportional to 40,454,638,912,900, 55,817,833,241,764 and 22,895,960,664,260
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Solution
The fourth proportional to 40,454,638,912,900, 55,817,833,241,764 and 22,895,960,664,260 is: 31,591,010,292,274.02
Step by Step Solution
- Step 1: Write the proportion equation
40,454,638,912,900 : 55,817,833,241,764 = 22,895,960,664,260 : x - Step 2: Convert to fraction form
40,454,638,912,900/55,817,833,241,764 = 22,895,960,664,260/x - Step 3: Cross multiply
40,454,638,912,900x = 55,817,833,241,764 × 22,895,960,664,260 - Step 4: Simplify right side
40,454,638,912,900x = 1,278,002,914,267,652,736,356,974,592 - Step 5: Solve for x
x = 1,278,002,914,267,652,736,356,974,592/40,454,638,912,900 - Step 6: Final answer
x = 31,591,010,292,274.02
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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.