Finding the Fourth Proportional to 114,227,236,440.18, 157,467,450,166.92 and 79,826,137,129.62
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Solution
The fourth proportional to 114,227,236,440.18, 157,467,450,166.92 and 79,826,137,129.62 is: 110,043,967,290.23
Step by Step Solution
- Step 1: Write the proportion equation
114,227,236,440.18 : 157,467,450,166.92 = 79,826,137,129.62 : x - Step 2: Convert to fraction form
114,227,236,440.18/157,467,450,166.92 = 79,826,137,129.62/x - Step 3: Cross multiply
114,227,236,440.18x = 157,467,450,166.92 × 79,826,137,129.62 - Step 4: Simplify right side
114,227,236,440.18x = 12,570,018,270,476,159,156,224 - Step 5: Solve for x
x = 12,570,018,270,476,159,156,224/114,227,236,440.18 - Step 6: Final answer
x = 110,043,967,290.23
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1.5x scale
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.