Finding the Fourth Proportional to 28,200,110,025,261, 42,319,487,158,790 and 9,842,225,635,844.50
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Solution
The fourth proportional to 28,200,110,025,261, 42,319,487,158,790 and 9,842,225,635,844.50 is: 14,770,082,139,286.97
Step by Step Solution
- Step 1: Write the proportion equation
28,200,110,025,261 : 42,319,487,158,790 = 9,842,225,635,844.50 : x - Step 2: Convert to fraction form
28,200,110,025,261/42,319,487,158,790 = 9,842,225,635,844.50/x - Step 3: Cross multiply
28,200,110,025,261x = 42,319,487,158,790 × 9,842,225,635,844.50 - Step 4: Simplify right side
28,200,110,025,261x = 416,517,941,410,035,036,571,303,936 - Step 5: Solve for x
x = 416,517,941,410,035,036,571,303,936/28,200,110,025,261 - Step 6: Final answer
x = 14,770,082,139,286.97
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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.