Finding the Fourth Proportional to 47,970,118,088,032, 66,198,762,961,484 and 27,439,931,534,944
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Solution
The fourth proportional to 47,970,118,088,032, 66,198,762,961,484 and 27,439,931,534,944 is: 37,867,105,518,222.63
Step by Step Solution
- Step 1: Write the proportion equation
47,970,118,088,032 : 66,198,762,961,484 = 27,439,931,534,944 : x - Step 2: Convert to fraction form
47,970,118,088,032/66,198,762,961,484 = 27,439,931,534,944/x - Step 3: Cross multiply
47,970,118,088,032x = 66,198,762,961,484 × 27,439,931,534,944 - Step 4: Simplify right side
47,970,118,088,032x = 1,816,489,523,361,107,744,944,816,128 - Step 5: Solve for x
x = 1,816,489,523,361,107,744,944,816,128/47,970,118,088,032 - Step 6: Final answer
x = 37,867,105,518,222.63
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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.