Finding the Fourth Proportional to 3,649,259,397,968.20, 5,035,981,696,175.70 and 1,980,675,122,664
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Solution
The fourth proportional to 3,649,259,397,968.20, 5,035,981,696,175.70 and 1,980,675,122,664 is: 2,733,333,692,134.92
Step by Step Solution
- Step 1: Write the proportion equation
3,649,259,397,968.20 : 5,035,981,696,175.70 = 1,980,675,122,664 : x - Step 2: Convert to fraction form
3,649,259,397,968.20/5,035,981,696,175.70 = 1,980,675,122,664/x - Step 3: Cross multiply
3,649,259,397,968.20x = 5,035,981,696,175.70 × 1,980,675,122,664 - Step 4: Simplify right side
3,649,259,397,968.20x = 9,974,643,663,806,464,465,567,744 - Step 5: Solve for x
x = 9,974,643,663,806,464,465,567,744/3,649,259,397,968.20 - Step 6: Final answer
x = 2,733,333,692,134.92
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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.