Finding the Fourth Proportional to 3,415,275,698,861, 5,122,733,122,427.50 and 1,120,237,839,992.40
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Solution
The fourth proportional to 3,415,275,698,861, 5,122,733,122,427.50 and 1,120,237,839,992.40 is: 1,680,297,578,857.12
Step by Step Solution
- Step 1: Write the proportion equation
3,415,275,698,861 : 5,122,733,122,427.50 = 1,120,237,839,992.40 : x - Step 2: Convert to fraction form
3,415,275,698,861/5,122,733,122,427.50 = 1,120,237,839,992.40/x - Step 3: Cross multiply
3,415,275,698,861x = 5,122,733,122,427.50 × 1,120,237,839,992.40 - Step 4: Simplify right side
3,415,275,698,861x = 5,738,679,487,925,704,533,737,472 - Step 5: Solve for x
x = 5,738,679,487,925,704,533,737,472/3,415,275,698,861 - Step 6: Final answer
x = 1,680,297,578,857.12
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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.