Finding the Fourth Proportional to 468,407,011,182.70, 646,163,780,020.80 and 305,921,768,475.97
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Solution
The fourth proportional to 468,407,011,182.70, 646,163,780,020.80 and 305,921,768,475.97 is: 422,016,668,388.38
Step by Step Solution
- Step 1: Write the proportion equation
468,407,011,182.70 : 646,163,780,020.80 = 305,921,768,475.97 : x - Step 2: Convert to fraction form
468,407,011,182.70/646,163,780,020.80 = 305,921,768,475.97/x - Step 3: Cross multiply
468,407,011,182.70x = 646,163,780,020.80 × 305,921,768,475.97 - Step 4: Simplify right side
468,407,011,182.70x = 197,675,566,309,080,767,135,744 - Step 5: Solve for x
x = 197,675,566,309,080,767,135,744/468,407,011,182.70 - Step 6: Final answer
x = 422,016,668,388.38
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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.