Finding the Fourth Proportional to 34,231,258,425,159, 47,236,544,151,260 and 19,211,095,970,919
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Solution
The fourth proportional to 34,231,258,425,159, 47,236,544,151,260 and 19,211,095,970,919 is: 26,509,857,503,732.52
Step by Step Solution
- Step 1: Write the proportion equation
34,231,258,425,159 : 47,236,544,151,260 = 19,211,095,970,919 : x - Step 2: Convert to fraction form
34,231,258,425,159/47,236,544,151,260 = 19,211,095,970,919/x - Step 3: Cross multiply
34,231,258,425,159x = 47,236,544,151,260 × 19,211,095,970,919 - Step 4: Simplify right side
34,231,258,425,159x = 907,465,783,024,408,403,187,335,168 - Step 5: Solve for x
x = 907,465,783,024,408,403,187,335,168/34,231,258,425,159 - Step 6: Final answer
x = 26,509,857,503,732.52
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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.