Finding the Fourth Proportional to 431,821,424,395.83, 595,932,297,768.50 and 239,133,597,321.54
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Solution
The fourth proportional to 431,821,424,395.83, 595,932,297,768.50 and 239,133,597,321.54 is: 330,014,737,746.88
Step by Step Solution
- Step 1: Write the proportion equation
431,821,424,395.83 : 595,932,297,768.50 = 239,133,597,321.54 : x - Step 2: Convert to fraction form
431,821,424,395.83/595,932,297,768.50 = 239,133,597,321.54/x - Step 3: Cross multiply
431,821,424,395.83x = 595,932,297,768.50 × 239,133,597,321.54 - Step 4: Simplify right side
431,821,424,395.83x = 142,507,434,125,472,548,519,936 - Step 5: Solve for x
x = 142,507,434,125,472,548,519,936/431,821,424,395.83 - Step 6: Final answer
x = 330,014,737,746.88
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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.