Finding the Fourth Proportional to 10,323,283,492,343, 14,246,058,747,561 and 5,635,682,257,061.80
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Solution
The fourth proportional to 10,323,283,492,343, 14,246,058,747,561 and 5,635,682,257,061.80 is: 7,777,201,950,933.50
Step by Step Solution
- Step 1: Write the proportion equation
10,323,283,492,343 : 14,246,058,747,561 = 5,635,682,257,061.80 : x - Step 2: Convert to fraction form
10,323,283,492,343/14,246,058,747,561 = 5,635,682,257,061.80/x - Step 3: Cross multiply
10,323,283,492,343x = 14,246,058,747,561 × 5,635,682,257,061.80 - Step 4: Simplify right side
10,323,283,492,343x = 80,286,260,516,689,569,206,239,232 - Step 5: Solve for x
x = 80,286,260,516,689,569,206,239,232/10,323,283,492,343 - Step 6: Final answer
x = 7,777,201,950,933.50
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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.