Finding the Fourth Proportional to 8,101,998,329.40, 12,145,344,743.70 and 4,788,357,406.20
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Solution
The fourth proportional to 8,101,998,329.40, 12,145,344,743.70 and 4,788,357,406.20 is: 7,178,013,261.66
Step by Step Solution
- Step 1: Write the proportion equation
8,101,998,329.40 : 12,145,344,743.70 = 4,788,357,406.20 : x - Step 2: Convert to fraction form
8,101,998,329.40/12,145,344,743.70 = 4,788,357,406.20/x - Step 3: Cross multiply
8,101,998,329.40x = 12,145,344,743.70 × 4,788,357,406.20 - Step 4: Simplify right side
8,101,998,329.40x = 58,156,251,454,348,140,544 - Step 5: Solve for x
x = 58,156,251,454,348,140,544/8,101,998,329.40 - Step 6: Final answer
x = 7,178,013,261.66
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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.