Finding the Fourth Proportional to 4,175,527,024.33, 5,762,186,782.81 and 2,270,288,473.84
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Solution
The fourth proportional to 4,175,527,024.33, 5,762,186,782.81 and 2,270,288,473.84 is: 3,132,976,067.67
Step by Step Solution
- Step 1: Write the proportion equation
4,175,527,024.33 : 5,762,186,782.81 = 2,270,288,473.84 : x - Step 2: Convert to fraction form
4,175,527,024.33/5,762,186,782.81 = 2,270,288,473.84/x - Step 3: Cross multiply
4,175,527,024.33x = 5,762,186,782.81 × 2,270,288,473.84 - Step 4: Simplify right side
4,175,527,024.33x = 13,081,826,237,127,972,864 - Step 5: Solve for x
x = 13,081,826,237,127,972,864/4,175,527,024.33 - Step 6: Final answer
x = 3,132,976,067.67
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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.