Finding the Fourth Proportional to 280,509,190,482.98, 420,757,890,714.14 and 68,274,507,045.97
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Solution
The fourth proportional to 280,509,190,482.98, 420,757,890,714.14 and 68,274,507,045.97 is: 102,410,325,753.49
Step by Step Solution
- Step 1: Write the proportion equation
280,509,190,482.98 : 420,757,890,714.14 = 68,274,507,045.97 : x - Step 2: Convert to fraction form
280,509,190,482.98/420,757,890,714.14 = 68,274,507,045.97/x - Step 3: Cross multiply
280,509,190,482.98x = 420,757,890,714.14 × 68,274,507,045.97 - Step 4: Simplify right side
280,509,190,482.98x = 28,727,037,574,210,029,355,008 - Step 5: Solve for x
x = 28,727,037,574,210,029,355,008/280,509,190,482.98 - Step 6: Final answer
x = 102,410,325,753.49
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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.