Finding the Fourth Proportional to 825,028,491,145.23, 1,138,539,370,280.30 and 459,214,819,475.23
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Solution
The fourth proportional to 825,028,491,145.23, 1,138,539,370,280.30 and 459,214,819,475.23 is: 633,716,480,097.50
Step by Step Solution
- Step 1: Write the proportion equation
825,028,491,145.23 : 1,138,539,370,280.30 = 459,214,819,475.23 : x - Step 2: Convert to fraction form
825,028,491,145.23/1,138,539,370,280.30 = 459,214,819,475.23/x - Step 3: Cross multiply
825,028,491,145.23x = 1,138,539,370,280.30 × 459,214,819,475.23 - Step 4: Simplify right side
825,028,491,145.23x = 522,834,151,388,709,990,170,624 - Step 5: Solve for x
x = 522,834,151,388,709,990,170,624/825,028,491,145.23 - Step 6: Final answer
x = 633,716,480,097.50
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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.