Finding the Fourth Proportional to 7,668,166,807,686, 10,582,402,834,157 and 4,246,469,048,838.10
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Solution
The fourth proportional to 7,668,166,807,686, 10,582,402,834,157 and 4,246,469,048,838.10 is: 5,860,311,496,163.85
Step by Step Solution
- Step 1: Write the proportion equation
7,668,166,807,686 : 10,582,402,834,157 = 4,246,469,048,838.10 : x - Step 2: Convert to fraction form
7,668,166,807,686/10,582,402,834,157 = 4,246,469,048,838.10/x - Step 3: Cross multiply
7,668,166,807,686x = 10,582,402,834,157 × 4,246,469,048,838.10 - Step 4: Simplify right side
7,668,166,807,686x = 44,937,846,097,584,291,120,676,864 - Step 5: Solve for x
x = 44,937,846,097,584,291,120,676,864/7,668,166,807,686 - Step 6: Final answer
x = 5,860,311,496,163.85
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.