Finding the Fourth Proportional to 7,525,102,732.11, 10,385,303,546.70 and 4,138,608,710.95
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Solution
The fourth proportional to 7,525,102,732.11, 10,385,303,546.70 and 4,138,608,710.95 is: 5,711,643,980.73
Step by Step Solution
- Step 1: Write the proportion equation
7,525,102,732.11 : 10,385,303,546.70 = 4,138,608,710.95 : x - Step 2: Convert to fraction form
7,525,102,732.11/10,385,303,546.70 = 4,138,608,710.95/x - Step 3: Cross multiply
7,525,102,732.11x = 10,385,303,546.70 × 4,138,608,710.95 - Step 4: Simplify right side
7,525,102,732.11x = 42,980,707,724,206,596,096 - Step 5: Solve for x
x = 42,980,707,724,206,596,096/7,525,102,732.11 - Step 6: Final answer
x = 5,711,643,980.73
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1.5x scale
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.