Finding the Fourth Proportional to 22,090,265,135,142, 33,135,429,593,504 and 9,021,029,083,755
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Solution
The fourth proportional to 22,090,265,135,142, 33,135,429,593,504 and 9,021,029,083,755 is: 13,531,556,648,914.54
Step by Step Solution
- Step 1: Write the proportion equation
22,090,265,135,142 : 33,135,429,593,504 = 9,021,029,083,755 : x - Step 2: Convert to fraction form
22,090,265,135,142/33,135,429,593,504 = 9,021,029,083,755/x - Step 3: Cross multiply
22,090,265,135,142x = 33,135,429,593,504 × 9,021,029,083,755 - Step 4: Simplify right side
22,090,265,135,142x = 298,915,674,065,715,684,702,158,848 - Step 5: Solve for x
x = 298,915,674,065,715,684,702,158,848/22,090,265,135,142 - Step 6: Final answer
x = 13,531,556,648,914.54
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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.