Finding the Fourth Proportional to 431,821,322,301.22, 595,932,156,877.65 and 239,133,495,227
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Solution
The fourth proportional to 431,821,322,301.22, 595,932,156,877.65 and 239,133,495,227 is: 330,014,596,854.28
Step by Step Solution
- Step 1: Write the proportion equation
431,821,322,301.22 : 595,932,156,877.65 = 239,133,495,227 : x - Step 2: Convert to fraction form
431,821,322,301.22/595,932,156,877.65 = 239,133,495,227/x - Step 3: Cross multiply
431,821,322,301.22x = 595,932,156,877.65 × 239,133,495,227 - Step 4: Simplify right side
431,821,322,301.22x = 142,507,339,592,317,334,978,560 - Step 5: Solve for x
x = 142,507,339,592,317,334,978,560/431,821,322,301.22 - Step 6: Final answer
x = 330,014,596,854.28
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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.