Finding the Fourth Proportional to 3,283,851,270.97, 4,926,410,649.83 and 1,072,466,479.31
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Solution
The fourth proportional to 3,283,851,270.97, 4,926,410,649.83 and 1,072,466,479.31 is: 1,608,906,691.95
Step by Step Solution
- Step 1: Write the proportion equation
3,283,851,270.97 : 4,926,410,649.83 = 1,072,466,479.31 : x - Step 2: Convert to fraction form
3,283,851,270.97/4,926,410,649.83 = 1,072,466,479.31/x - Step 3: Cross multiply
3,283,851,270.97x = 4,926,410,649.83 × 1,072,466,479.31 - Step 4: Simplify right side
3,283,851,270.97x = 5,283,410,285,236,518,912 - Step 5: Solve for x
x = 5,283,410,285,236,518,912/3,283,851,270.97 - Step 6: Final answer
x = 1,608,906,691.95
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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.