Finding the Fourth Proportional to 32,369,862,056.40, 48,551,084,082.92 and 8,468,674,149.68
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Solution
The fourth proportional to 32,369,862,056.40, 48,551,084,082.92 and 8,468,674,149.68 is: 12,702,040,867.38
Step by Step Solution
- Step 1: Write the proportion equation
32,369,862,056.40 : 48,551,084,082.92 = 8,468,674,149.68 : x - Step 2: Convert to fraction form
32,369,862,056.40/48,551,084,082.92 = 8,468,674,149.68/x - Step 3: Cross multiply
32,369,862,056.40x = 48,551,084,082.92 × 8,468,674,149.68 - Step 4: Simplify right side
32,369,862,056.40x = 411,163,310,711,964,696,576 - Step 5: Solve for x
x = 411,163,310,711,964,696,576/32,369,862,056.40 - Step 6: Final answer
x = 12,702,040,867.38
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1.5x scale
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.