Finding the Fourth Proportional to 27,461,149,098,594, 37,870,930,306,828 and 20,041,829,778,770
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Solution
The fourth proportional to 27,461,149,098,594, 37,870,930,306,828 and 20,041,829,778,770 is: 27,639,147,074,583.61
Step by Step Solution
- Step 1: Write the proportion equation
27,461,149,098,594 : 37,870,930,306,828 = 20,041,829,778,770 : x - Step 2: Convert to fraction form
27,461,149,098,594/37,870,930,306,828 = 20,041,829,778,770/x - Step 3: Cross multiply
27,461,149,098,594x = 37,870,930,306,828 × 20,041,829,778,770 - Step 4: Simplify right side
27,461,149,098,594x = 759,002,738,773,108,696,262,115,328 - Step 5: Solve for x
x = 759,002,738,773,108,696,262,115,328/27,461,149,098,594 - Step 6: Final answer
x = 27,639,147,074,583.61
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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.