Finding the Fourth Proportional to 320,222,048,002.41, 480,330,991,406.67 and 81,454,657,142.65
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Solution
The fourth proportional to 320,222,048,002.41, 480,330,991,406.67 and 81,454,657,142.65 is: 122,181,456,473.99
Step by Step Solution
- Step 1: Write the proportion equation
320,222,048,002.41 : 480,330,991,406.67 = 81,454,657,142.65 : x - Step 2: Convert to fraction form
320,222,048,002.41/480,330,991,406.67 = 81,454,657,142.65/x - Step 3: Cross multiply
320,222,048,002.41x = 480,330,991,406.67 × 81,454,657,142.65 - Step 4: Simplify right side
320,222,048,002.41x = 39,125,196,220,017,540,071,424 - Step 5: Solve for x
x = 39,125,196,220,017,540,071,424/320,222,048,002.41 - Step 6: Final answer
x = 122,181,456,473.99
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1.5x scale
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.