Finding the Fourth Proportional to 4,865,461,428,059, 6,714,343,419,708.80 and 2,640,681,969,987
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Solution
The fourth proportional to 4,865,461,428,059, 6,714,343,419,708.80 and 2,640,681,969,987 is: 3,644,144,727,255.43
Step by Step Solution
- Step 1: Write the proportion equation
4,865,461,428,059 : 6,714,343,419,708.80 = 2,640,681,969,987 : x - Step 2: Convert to fraction form
4,865,461,428,059/6,714,343,419,708.80 = 2,640,681,969,987/x - Step 3: Cross multiply
4,865,461,428,059x = 6,714,343,419,708.80 × 2,640,681,969,987 - Step 4: Simplify right side
4,865,461,428,059x = 17,730,445,608,725,884,545,531,904 - Step 5: Solve for x
x = 17,730,445,608,725,884,545,531,904/4,865,461,428,059 - Step 6: Final answer
x = 3,644,144,727,255.43
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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.