Finding the Fourth Proportional to 47,970,118,088,038, 66,198,762,961,492 and 27,439,931,534,950
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Solution
The fourth proportional to 47,970,118,088,038, 66,198,762,961,492 and 27,439,931,534,950 is: 37,867,105,518,230.75
Step by Step Solution
- Step 1: Write the proportion equation
47,970,118,088,038 : 66,198,762,961,492 = 27,439,931,534,950 : x - Step 2: Convert to fraction form
47,970,118,088,038/66,198,762,961,492 = 27,439,931,534,950/x - Step 3: Cross multiply
47,970,118,088,038x = 66,198,762,961,492 × 27,439,931,534,950 - Step 4: Simplify right side
47,970,118,088,038x = 1,816,489,523,361,724,296,090,091,520 - Step 5: Solve for x
x = 1,816,489,523,361,724,296,090,091,520/47,970,118,088,038 - Step 6: Final answer
x = 37,867,105,518,230.75
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.