Finding the Fourth Proportional to 468,407,011,183.73, 646,163,780,022.26 and 305,921,768,476.98
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Solution
The fourth proportional to 468,407,011,183.73, 646,163,780,022.26 and 305,921,768,476.98 is: 422,016,668,389.80
Step by Step Solution
- Step 1: Write the proportion equation
468,407,011,183.73 : 646,163,780,022.26 = 305,921,768,476.98 : x - Step 2: Convert to fraction form
468,407,011,183.73/646,163,780,022.26 = 305,921,768,476.98/x - Step 3: Cross multiply
468,407,011,183.73x = 646,163,780,022.26 × 305,921,768,476.98 - Step 4: Simplify right side
468,407,011,183.73x = 197,675,566,310,180,043,882,496 - Step 5: Solve for x
x = 197,675,566,310,180,043,882,496/468,407,011,183.73 - Step 6: Final answer
x = 422,016,668,389.80
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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.