Finding the Fourth Proportional to 541,534,619,286.54, 747,307,720,982.84 and 297,658,874,627.02
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Solution
The fourth proportional to 541,534,619,286.54, 747,307,720,982.84 and 297,658,874,627.02 is: 410,763,720,924.99
Step by Step Solution
- Step 1: Write the proportion equation
541,534,619,286.54 : 747,307,720,982.84 = 297,658,874,627.02 : x - Step 2: Convert to fraction form
541,534,619,286.54/747,307,720,982.84 = 297,658,874,627.02/x - Step 3: Cross multiply
541,534,619,286.54x = 747,307,720,982.84 × 297,658,874,627.02 - Step 4: Simplify right side
541,534,619,286.54x = 222,442,775,227,835,225,210,880 - Step 5: Solve for x
x = 222,442,775,227,835,225,210,880/541,534,619,286.54 - Step 6: Final answer
x = 410,763,720,924.99
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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.