Finding the Fourth Proportional to 99,746,982,376.64, 149,639,723,520.20 and 32,576,169,329.88
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Solution
The fourth proportional to 99,746,982,376.64, 149,639,723,520.20 and 32,576,169,329.88 is: 48,870,540,799.56
Step by Step Solution
- Step 1: Write the proportion equation
99,746,982,376.64 : 149,639,723,520.20 = 32,576,169,329.88 : x - Step 2: Convert to fraction form
99,746,982,376.64/149,639,723,520.20 = 32,576,169,329.88/x - Step 3: Cross multiply
99,746,982,376.64x = 149,639,723,520.20 × 32,576,169,329.88 - Step 4: Simplify right side
99,746,982,376.64x = 4,874,688,971,870,462,541,824 - Step 5: Solve for x
x = 4,874,688,971,870,462,541,824/99,746,982,376.64 - Step 6: Final answer
x = 48,870,540,799.56
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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.