Finding the Fourth Proportional to 300,546,759,700.53, 414,754,795,641.67 and 163,369,585,934.12
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Solution
The fourth proportional to 300,546,759,700.53, 414,754,795,641.67 and 163,369,585,934.12 is: 225,450,173,862.08
Step by Step Solution
- Step 1: Write the proportion equation
300,546,759,700.53 : 414,754,795,641.67 = 163,369,585,934.12 : x - Step 2: Convert to fraction form
300,546,759,700.53/414,754,795,641.67 = 163,369,585,934.12/x - Step 3: Cross multiply
300,546,759,700.53x = 414,754,795,641.67 × 163,369,585,934.12 - Step 4: Simplify right side
300,546,759,700.53x = 67,758,319,228,170,182,590,464 - Step 5: Solve for x
x = 67,758,319,228,170,182,590,464/300,546,759,700.53 - Step 6: Final answer
x = 225,450,173,862.08
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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.