Finding the Fourth Proportional to 36,706,651,967,538, 55,032,833,977,884 and 22,198,431,472,550
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Solution
The fourth proportional to 36,706,651,967,538, 55,032,833,977,884 and 22,198,431,472,550 is: 33,281,231,829,006.21
Step by Step Solution
- Step 1: Write the proportion equation
36,706,651,967,538 : 55,032,833,977,884 = 22,198,431,472,550 : x - Step 2: Convert to fraction form
36,706,651,967,538/55,032,833,977,884 = 22,198,431,472,550/x - Step 3: Cross multiply
36,706,651,967,538x = 55,032,833,977,884 × 22,198,431,472,550 - Step 4: Simplify right side
36,706,651,967,538x = 1,221,642,593,798,279,252,001,423,360 - Step 5: Solve for x
x = 1,221,642,593,798,279,252,001,423,360/36,706,651,967,538 - Step 6: Final answer
x = 33,281,231,829,006.21
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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.