Finding the Fourth Proportional to 52,301,877,196,992, 72,178,783,272,980 and 30,079,192,399,290
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Solution
The fourth proportional to 52,301,877,196,992, 72,178,783,272,980 and 30,079,192,399,290 is: 41,510,546,572,494.42
Step by Step Solution
- Step 1: Write the proportion equation
52,301,877,196,992 : 72,178,783,272,980 = 30,079,192,399,290 : x - Step 2: Convert to fraction form
52,301,877,196,992/72,178,783,272,980 = 30,079,192,399,290/x - Step 3: Cross multiply
52,301,877,196,992x = 72,178,783,272,980 × 30,079,192,399,290 - Step 4: Simplify right side
52,301,877,196,992x = 2,171,079,509,214,620,306,588,565,504 - Step 5: Solve for x
x = 2,171,079,509,214,620,306,588,565,504/52,301,877,196,992 - Step 6: Final answer
x = 41,510,546,572,494.42
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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.