Finding the Fourth Proportional to 102,220,934,000.54, 153,331,195,381.12 and 96,000,468,689.60
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Solution
The fourth proportional to 102,220,934,000.54, 153,331,195,381.12 and 96,000,468,689.60 is: 144,000,509,927.32
Step by Step Solution
- Step 1: Write the proportion equation
102,220,934,000.54 : 153,331,195,381.12 = 96,000,468,689.60 : x - Step 2: Convert to fraction form
102,220,934,000.54/153,331,195,381.12 = 96,000,468,689.60/x - Step 3: Cross multiply
102,220,934,000.54x = 153,331,195,381.12 × 96,000,468,689.60 - Step 4: Simplify right side
102,220,934,000.54x = 14,719,866,621,324,150,439,936 - Step 5: Solve for x
x = 14,719,866,621,324,150,439,936/102,220,934,000.54 - Step 6: Final answer
x = 144,000,509,927.32
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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.