Finding the Fourth Proportional to 431,821,424,397.99, 595,932,297,771.51 and 239,133,597,323.70
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Solution
The fourth proportional to 431,821,424,397.99, 595,932,297,771.51 and 239,133,597,323.70 is: 330,014,737,749.87
Step by Step Solution
- Step 1: Write the proportion equation
431,821,424,397.99 : 595,932,297,771.51 = 239,133,597,323.70 : x - Step 2: Convert to fraction form
431,821,424,397.99/595,932,297,771.51 = 239,133,597,323.70/x - Step 3: Cross multiply
431,821,424,397.99x = 595,932,297,771.51 × 239,133,597,323.70 - Step 4: Simplify right side
431,821,424,397.99x = 142,507,434,127,479,556,538,368 - Step 5: Solve for x
x = 142,507,434,127,479,556,538,368/431,821,424,397.99 - Step 6: Final answer
x = 330,014,737,749.87
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.