Finding the Fourth Proportional to 4,899,728,351,808, 6,761,635,139,032.80 and 2,704,896,590,572.40
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Solution
The fourth proportional to 4,899,728,351,808, 6,761,635,139,032.80 and 2,704,896,590,572.40 is: 3,732,762,822,966.61
Step by Step Solution
- Step 1: Write the proportion equation
4,899,728,351,808 : 6,761,635,139,032.80 = 2,704,896,590,572.40 : x - Step 2: Convert to fraction form
4,899,728,351,808/6,761,635,139,032.80 = 2,704,896,590,572.40/x - Step 3: Cross multiply
4,899,728,351,808x = 6,761,635,139,032.80 × 2,704,896,590,572.40 - Step 4: Simplify right side
4,899,728,351,808x = 18,289,523,834,264,355,562,586,112 - Step 5: Solve for x
x = 18,289,523,834,264,355,562,586,112/4,899,728,351,808 - Step 6: Final answer
x = 3,732,762,822,966.61
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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.