Finding the Fourth Proportional to 53,975,656,867,563, 80,937,962,887,014 and 20,909,640,336,119
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Solution
The fourth proportional to 53,975,656,867,563, 80,937,962,887,014 and 20,909,640,336,119 is: 31,354,573,371,068.30
Step by Step Solution
- Step 1: Write the proportion equation
53,975,656,867,563 : 80,937,962,887,014 = 20,909,640,336,119 : x - Step 2: Convert to fraction form
53,975,656,867,563/80,937,962,887,014 = 20,909,640,336,119/x - Step 3: Cross multiply
53,975,656,867,563x = 80,937,962,887,014 × 20,909,640,336,119 - Step 4: Simplify right side
53,975,656,867,563x = 1,692,383,693,505,610,489,425,559,552 - Step 5: Solve for x
x = 1,692,383,693,505,610,489,425,559,552/53,975,656,867,563 - Step 6: Final answer
x = 31,354,573,371,068.30
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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.