Finding the Fourth Proportional to 5,149,175,161.44, 7,106,610,495.60 and 2,891,368,149.60
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Solution
The fourth proportional to 5,149,175,161.44, 7,106,610,495.60 and 2,891,368,149.60 is: 3,990,508,497.84
Step by Step Solution
- Step 1: Write the proportion equation
5,149,175,161.44 : 7,106,610,495.60 = 2,891,368,149.60 : x - Step 2: Convert to fraction form
5,149,175,161.44/7,106,610,495.60 = 2,891,368,149.60/x - Step 3: Cross multiply
5,149,175,161.44x = 7,106,610,495.60 × 2,891,368,149.60 - Step 4: Simplify right side
5,149,175,161.44x = 20,547,827,238,590,910,464 - Step 5: Solve for x
x = 20,547,827,238,590,910,464/5,149,175,161.44 - Step 6: Final answer
x = 3,990,508,497.84
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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.