Finding the Fourth Proportional to 468,407,011,180.73, 646,163,780,018.11 and 305,921,768,473.99
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Solution
The fourth proportional to 468,407,011,180.73, 646,163,780,018.11 and 305,921,768,473.99 is: 422,016,668,385.67
Step by Step Solution
- Step 1: Write the proportion equation
468,407,011,180.73 : 646,163,780,018.11 = 305,921,768,473.99 : x - Step 2: Convert to fraction form
468,407,011,180.73/646,163,780,018.11 = 305,921,768,473.99/x - Step 3: Cross multiply
468,407,011,180.73x = 646,163,780,018.11 × 305,921,768,473.99 - Step 4: Simplify right side
468,407,011,180.73x = 197,675,566,306,978,447,753,216 - Step 5: Solve for x
x = 197,675,566,306,978,447,753,216/468,407,011,180.73 - Step 6: Final answer
x = 422,016,668,385.67
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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.