Finding the Fourth Proportional to 13,496,765,938,596, 18,625,220,190,107 and 7,941,450,225,121.40
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Solution
The fourth proportional to 13,496,765,938,596, 18,625,220,190,107 and 7,941,450,225,121.40 is: 10,959,014,903,613.82
Step by Step Solution
- Step 1: Write the proportion equation
13,496,765,938,596 : 18,625,220,190,107 = 7,941,450,225,121.40 : x - Step 2: Convert to fraction form
13,496,765,938,596/18,625,220,190,107 = 7,941,450,225,121.40/x - Step 3: Cross multiply
13,496,765,938,596x = 18,625,220,190,107 × 7,941,450,225,121.40 - Step 4: Simplify right side
13,496,765,938,596x = 147,911,259,071,660,889,240,240,128 - Step 5: Solve for x
x = 147,911,259,071,660,889,240,240,128/13,496,765,938,596 - Step 6: Final answer
x = 10,959,014,903,613.82
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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.