Finding the Fourth Proportional to 412,980,286,820.80, 619,470,430,231.20 and 245,201,387,051.20
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Solution
The fourth proportional to 412,980,286,820.80, 619,470,430,231.20 and 245,201,387,051.20 is: 367,802,080,576.80
Step by Step Solution
- Step 1: Write the proportion equation
412,980,286,820.80 : 619,470,430,231.20 = 245,201,387,051.20 : x - Step 2: Convert to fraction form
412,980,286,820.80/619,470,430,231.20 = 245,201,387,051.20/x - Step 3: Cross multiply
412,980,286,820.80x = 619,470,430,231.20 × 245,201,387,051.20 - Step 4: Simplify right side
412,980,286,820.80x = 151,895,008,729,893,835,898,880 - Step 5: Solve for x
x = 151,895,008,729,893,835,898,880/412,980,286,820.80 - Step 6: Final answer
x = 367,802,080,576.80
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.