Finding the Fourth Proportional to 12,497,898,042,827, 18,746,847,064,244 and 12,497,898,042,827
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Solution
The fourth proportional to 12,497,898,042,827, 18,746,847,064,244 and 12,497,898,042,827 is: 18,746,847,064,244
Step by Step Solution
- Step 1: Write the proportion equation
12,497,898,042,827 : 18,746,847,064,244 = 12,497,898,042,827 : x - Step 2: Convert to fraction form
12,497,898,042,827/18,746,847,064,244 = 12,497,898,042,827/x - Step 3: Cross multiply
12,497,898,042,827x = 18,746,847,064,244 × 12,497,898,042,827 - Step 4: Simplify right side
12,497,898,042,827x = 234,296,183,233,392,185,473,761,280 - Step 5: Solve for x
x = 234,296,183,233,392,185,473,761,280/12,497,898,042,827 - Step 6: Final answer
x = 18,746,847,064,244
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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.