Finding the Fourth Proportional to 77,142,845,427.14, 115,714,658,192.20 and 24,079,430,418.14
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Solution
The fourth proportional to 77,142,845,427.14, 115,714,658,192.20 and 24,079,430,418.14 is: 36,119,267,378.20
Step by Step Solution
- Step 1: Write the proportion equation
77,142,845,427.14 : 115,714,658,192.20 = 24,079,430,418.14 : x - Step 2: Convert to fraction form
77,142,845,427.14/115,714,658,192.20 = 24,079,430,418.14/x - Step 3: Cross multiply
77,142,845,427.14x = 115,714,658,192.20 × 24,079,430,418.14 - Step 4: Simplify right side
77,142,845,427.14x = 2,786,343,060,297,933,651,968 - Step 5: Solve for x
x = 2,786,343,060,297,933,651,968/77,142,845,427.14 - Step 6: Final answer
x = 36,119,267,378.20
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1.5x scale
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.