Finding the Fourth Proportional to 8,187,497,673.42, 12,248,932,876.38 and 6,201,261,441.26
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Solution
The fourth proportional to 8,187,497,673.42, 12,248,932,876.38 and 6,201,261,441.26 is: 9,277,417,615.58
Step by Step Solution
- Step 1: Write the proportion equation
8,187,497,673.42 : 12,248,932,876.38 = 6,201,261,441.26 : x - Step 2: Convert to fraction form
8,187,497,673.42/12,248,932,876.38 = 6,201,261,441.26/x - Step 3: Cross multiply
8,187,497,673.42x = 12,248,932,876.38 × 6,201,261,441.26 - Step 4: Simplify right side
8,187,497,673.42x = 75,958,835,142,877,233,152 - Step 5: Solve for x
x = 75,958,835,142,877,233,152/8,187,497,673.42 - Step 6: Final answer
x = 9,277,417,615.58
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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.