Finding the Fourth Proportional to 23,830,951,861,052, 35,746,428,207,882 and 5,720,157,834,260
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Solution
The fourth proportional to 23,830,951,861,052, 35,746,428,207,882 and 5,720,157,834,260 is: 8,580,236,851,315.70
Step by Step Solution
- Step 1: Write the proportion equation
23,830,951,861,052 : 35,746,428,207,882 = 5,720,157,834,260 : x - Step 2: Convert to fraction form
23,830,951,861,052/35,746,428,207,882 = 5,720,157,834,260/x - Step 3: Cross multiply
23,830,951,861,052x = 35,746,428,207,882 × 5,720,157,834,260 - Step 4: Simplify right side
23,830,951,861,052x = 204,475,211,360,128,870,268,272,640 - Step 5: Solve for x
x = 204,475,211,360,128,870,268,272,640/23,830,951,861,052 - Step 6: Final answer
x = 8,580,236,851,315.70
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.