Finding the Fourth Proportional to 4,899,183,097,680, 6,760,849,102,257.60 and 2,704,329,118,466.80
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Solution
The fourth proportional to 4,899,183,097,680, 6,760,849,102,257.60 and 2,704,329,118,466.80 is: 3,731,961,171,537.66
Step by Step Solution
- Step 1: Write the proportion equation
4,899,183,097,680 : 6,760,849,102,257.60 = 2,704,329,118,466.80 : x - Step 2: Convert to fraction form
4,899,183,097,680/6,760,849,102,257.60 = 2,704,329,118,466.80/x - Step 3: Cross multiply
4,899,183,097,680x = 6,760,849,102,257.60 × 2,704,329,118,466.80 - Step 4: Simplify right side
4,899,183,097,680x = 18,283,561,092,795,348,648,198,144 - Step 5: Solve for x
x = 18,283,561,092,795,348,648,198,144/4,899,183,097,680 - Step 6: Final answer
x = 3,731,961,171,537.66
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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.