Finding the Fourth Proportional to 142,236,306,508.95, 213,367,003,163.85 and 40,133,795,301
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Solution
The fourth proportional to 142,236,306,508.95, 213,367,003,163.85 and 40,133,795,301 is: 60,204,232,232.56
Step by Step Solution
- Step 1: Write the proportion equation
142,236,306,508.95 : 213,367,003,163.85 = 40,133,795,301 : x - Step 2: Convert to fraction form
142,236,306,508.95/213,367,003,163.85 = 40,133,795,301/x - Step 3: Cross multiply
142,236,306,508.95x = 213,367,003,163.85 × 40,133,795,301 - Step 4: Simplify right side
142,236,306,508.95x = 8,563,227,628,965,775,540,224 - Step 5: Solve for x
x = 8,563,227,628,965,775,540,224/142,236,306,508.95 - Step 6: Final answer
x = 60,204,232,232.56
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.