Finding the Fourth Proportional to 340,122,958,655.43, 469,383,942,497.09 and 195,607,201,184.64
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Solution
The fourth proportional to 340,122,958,655.43, 469,383,942,497.09 and 195,607,201,184.64 is: 269,946,138,407.80
Step by Step Solution
- Step 1: Write the proportion equation
340,122,958,655.43 : 469,383,942,497.09 = 195,607,201,184.64 : x - Step 2: Convert to fraction form
340,122,958,655.43/469,383,942,497.09 = 195,607,201,184.64/x - Step 3: Cross multiply
340,122,958,655.43x = 469,383,942,497.09 × 195,607,201,184.64 - Step 4: Simplify right side
340,122,958,655.43x = 91,814,879,272,867,788,226,560 - Step 5: Solve for x
x = 91,814,879,272,867,788,226,560/340,122,958,655.43 - Step 6: Final answer
x = 269,946,138,407.80
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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.