Finding the Fourth Proportional to 199,728,158,617.47, 299,560,346,731.34 and 58,204,476,342.66
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Solution
The fourth proportional to 199,728,158,617.47, 299,560,346,731.34 and 58,204,476,342.66 is: 87,297,420,830.47
Step by Step Solution
- Step 1: Write the proportion equation
199,728,158,617.47 : 299,560,346,731.34 = 58,204,476,342.66 : x - Step 2: Convert to fraction form
199,728,158,617.47/299,560,346,731.34 = 58,204,476,342.66/x - Step 3: Cross multiply
199,728,158,617.47x = 299,560,346,731.34 × 58,204,476,342.66 - Step 4: Simplify right side
199,728,158,617.47x = 17,435,753,114,523,307,868,160 - Step 5: Solve for x
x = 17,435,753,114,523,307,868,160/199,728,158,617.47 - Step 6: Final answer
x = 87,297,420,830.47
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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.