Finding the Fourth Proportional to 10,186,414,045.76, 14,057,107,395.84 and 5,731,067,792.96
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Solution
The fourth proportional to 10,186,414,045.76, 14,057,107,395.84 and 5,731,067,792.96 is: 7,908,792,544.32
Step by Step Solution
- Step 1: Write the proportion equation
10,186,414,045.76 : 14,057,107,395.84 = 5,731,067,792.96 : x - Step 2: Convert to fraction form
10,186,414,045.76/14,057,107,395.84 = 5,731,067,792.96/x - Step 3: Cross multiply
10,186,414,045.76x = 14,057,107,395.84 × 5,731,067,792.96 - Step 4: Simplify right side
10,186,414,045.76x = 80,562,235,458,478,440,448 - Step 5: Solve for x
x = 80,562,235,458,478,440,448/10,186,414,045.76 - Step 6: Final answer
x = 7,908,792,544.32
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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.