Finding the Fourth Proportional to 340,122,958,647.92, 469,383,942,486.71 and 195,607,201,177.14
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Solution
The fourth proportional to 340,122,958,647.92, 469,383,942,486.71 and 195,607,201,177.14 is: 269,946,138,397.44
Step by Step Solution
- Step 1: Write the proportion equation
340,122,958,647.92 : 469,383,942,486.71 = 195,607,201,177.14 : x - Step 2: Convert to fraction form
340,122,958,647.92/469,383,942,486.71 = 195,607,201,177.14/x - Step 3: Cross multiply
340,122,958,647.92x = 469,383,942,486.71 × 195,607,201,177.14 - Step 4: Simplify right side
340,122,958,647.92x = 91,814,879,267,317,012,758,528 - Step 5: Solve for x
x = 91,814,879,267,317,012,758,528/340,122,958,647.92 - Step 6: Final answer
x = 269,946,138,397.44
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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.