Finding the Fourth Proportional to 420,901,272,011.19, 631,351,908,016.79 and 420,901,272,011.19
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Solution
The fourth proportional to 420,901,272,011.19, 631,351,908,016.79 and 420,901,272,011.19 is: 631,351,908,016.79
Step by Step Solution
- Step 1: Write the proportion equation
420,901,272,011.19 : 631,351,908,016.79 = 420,901,272,011.19 : x - Step 2: Convert to fraction form
420,901,272,011.19/631,351,908,016.79 = 420,901,272,011.19/x - Step 3: Cross multiply
420,901,272,011.19x = 631,351,908,016.79 × 420,901,272,011.19 - Step 4: Simplify right side
420,901,272,011.19x = 265,736,821,170,958,761,984,000 - Step 5: Solve for x
x = 265,736,821,170,958,761,984,000/420,901,272,011.19 - Step 6: Final answer
x = 631,351,908,016.79
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.