Finding the Fourth Proportional to 10,658,389,827,851, 14,708,566,807,121 and 5,970,821,589,540.80
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Solution
The fourth proportional to 10,658,389,827,851, 14,708,566,807,121 and 5,970,821,589,540.80 is: 8,239,727,544,368.53
Step by Step Solution
- Step 1: Write the proportion equation
10,658,389,827,851 : 14,708,566,807,121 = 5,970,821,589,540.80 : x - Step 2: Convert to fraction form
10,658,389,827,851/14,708,566,807,121 = 5,970,821,589,540.80/x - Step 3: Cross multiply
10,658,389,827,851x = 14,708,566,807,121 × 5,970,821,589,540.80 - Step 4: Simplify right side
10,658,389,827,851x = 87,822,228,243,161,258,670,424,064 - Step 5: Solve for x
x = 87,822,228,243,161,258,670,424,064/10,658,389,827,851 - Step 6: Final answer
x = 8,239,727,544,368.53
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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.