Finding the Fourth Proportional to 138,393,236,765.76, 190,990,082,163.36 and 77,421,966,774
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Solution
The fourth proportional to 138,393,236,765.76, 190,990,082,163.36 and 77,421,966,774 is: 106,846,462,594.43
Step by Step Solution
- Step 1: Write the proportion equation
138,393,236,765.76 : 190,990,082,163.36 = 77,421,966,774 : x - Step 2: Convert to fraction form
138,393,236,765.76/190,990,082,163.36 = 77,421,966,774/x - Step 3: Cross multiply
138,393,236,765.76x = 190,990,082,163.36 × 77,421,966,774 - Step 4: Simplify right side
138,393,236,765.76x = 14,786,827,795,415,187,849,216 - Step 5: Solve for x
x = 14,786,827,795,415,187,849,216/138,393,236,765.76 - Step 6: Final answer
x = 106,846,462,594.43
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.