Finding the Fourth Proportional to 3,131,417,197.07, 4,321,372,815.68 and 1,843,985,234.51
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Solution
The fourth proportional to 3,131,417,197.07, 4,321,372,815.68 and 1,843,985,234.51 is: 2,544,709,683.65
Step by Step Solution
- Step 1: Write the proportion equation
3,131,417,197.07 : 4,321,372,815.68 = 1,843,985,234.51 : x - Step 2: Convert to fraction form
3,131,417,197.07/4,321,372,815.68 = 1,843,985,234.51/x - Step 3: Cross multiply
3,131,417,197.07x = 4,321,372,815.68 × 1,843,985,234.51 - Step 4: Simplify right side
3,131,417,197.07x = 7,968,547,664,926,824,448 - Step 5: Solve for x
x = 7,968,547,664,926,824,448/3,131,417,197.07 - Step 6: Final answer
x = 2,544,709,683.65
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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.