Finding the Fourth Proportional to 4,638,678,842.98, 6,960,158,173.72 and 2,118,379,689.92
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Solution
The fourth proportional to 4,638,678,842.98, 6,960,158,173.72 and 2,118,379,689.92 is: 3,178,546,783.02
Step by Step Solution
- Step 1: Write the proportion equation
4,638,678,842.98 : 6,960,158,173.72 = 2,118,379,689.92 : x - Step 2: Convert to fraction form
4,638,678,842.98/6,960,158,173.72 = 2,118,379,689.92/x - Step 3: Cross multiply
4,638,678,842.98x = 6,960,158,173.72 × 2,118,379,689.92 - Step 4: Simplify right side
4,638,678,842.98x = 14,744,257,713,839,128,576 - Step 5: Solve for x
x = 14,744,257,713,839,128,576/4,638,678,842.98 - Step 6: Final answer
x = 3,178,546,783.02
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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.