Finding the Fourth Proportional to 27,461,149,098,573, 37,870,930,306,803 and 20,041,829,778,751
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Solution
The fourth proportional to 27,461,149,098,573, 37,870,930,306,803 and 20,041,829,778,751 is: 27,639,147,074,560.30
Step by Step Solution
- Step 1: Write the proportion equation
27,461,149,098,573 : 37,870,930,306,803 = 20,041,829,778,751 : x - Step 2: Convert to fraction form
27,461,149,098,573/37,870,930,306,803 = 20,041,829,778,751/x - Step 3: Cross multiply
27,461,149,098,573x = 37,870,930,306,803 × 20,041,829,778,751 - Step 4: Simplify right side
27,461,149,098,573x = 759,002,738,771,888,100,916,330,496 - Step 5: Solve for x
x = 759,002,738,771,888,100,916,330,496/27,461,149,098,573 - Step 6: Final answer
x = 27,639,147,074,560.30
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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.