Finding the Fourth Proportional to 8,199,830,270.70, 12,319,367,461.92 and 5,257,873,846.62
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Solution
The fourth proportional to 8,199,830,270.70, 12,319,367,461.92 and 5,257,873,846.62 is: 7,899,392,773.58
Step by Step Solution
- Step 1: Write the proportion equation
8,199,830,270.70 : 12,319,367,461.92 = 5,257,873,846.62 : x - Step 2: Convert to fraction form
8,199,830,270.70/12,319,367,461.92 = 5,257,873,846.62/x - Step 3: Cross multiply
8,199,830,270.70x = 12,319,367,461.92 × 5,257,873,846.62 - Step 4: Simplify right side
8,199,830,270.70x = 64,773,679,984,930,578,432 - Step 5: Solve for x
x = 64,773,679,984,930,578,432/8,199,830,270.70 - Step 6: Final answer
x = 7,899,392,773.58
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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.