Finding the Fourth Proportional to 1,644,904,990.16, 2,467,437,208.68 and 539,412,050.78
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Solution
The fourth proportional to 1,644,904,990.16, 2,467,437,208.68 and 539,412,050.78 is: 809,144,219.80
Step by Step Solution
- Step 1: Write the proportion equation
1,644,904,990.16 : 2,467,437,208.68 = 539,412,050.78 : x - Step 2: Convert to fraction form
1,644,904,990.16/2,467,437,208.68 = 539,412,050.78/x - Step 3: Cross multiply
1,644,904,990.16x = 2,467,437,208.68 × 539,412,050.78 - Step 4: Simplify right side
1,644,904,990.16x = 1,330,965,364,900,848,384 - Step 5: Solve for x
x = 1,330,965,364,900,848,384/1,644,904,990.16 - Step 6: Final answer
x = 809,144,219.80
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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.