Finding the Fourth Proportional to 4,199,048,864.64, 5,794,863,477.01 and 2,414,903,710.66
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Solution
The fourth proportional to 4,199,048,864.64, 5,794,863,477.01 and 2,414,903,710.66 is: 3,332,668,364.79
Step by Step Solution
- Step 1: Write the proportion equation
4,199,048,864.64 : 5,794,863,477.01 = 2,414,903,710.66 : x - Step 2: Convert to fraction form
4,199,048,864.64/5,794,863,477.01 = 2,414,903,710.66/x - Step 3: Cross multiply
4,199,048,864.64x = 5,794,863,477.01 × 2,414,903,710.66 - Step 4: Simplify right side
4,199,048,864.64x = 13,994,037,313,379,854,336 - Step 5: Solve for x
x = 13,994,037,313,379,854,336/4,199,048,864.64 - Step 6: Final answer
x = 3,332,668,364.79
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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.