Finding the Fourth Proportional to 537,145,132,106.92, 741,325,283,113.62 and 305,714,923,310.28
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Solution
The fourth proportional to 537,145,132,106.92, 741,325,283,113.62 and 305,714,923,310.28 is: 421,923,589,228.28
Step by Step Solution
- Step 1: Write the proportion equation
537,145,132,106.92 : 741,325,283,113.62 = 305,714,923,310.28 : x - Step 2: Convert to fraction form
537,145,132,106.92/741,325,283,113.62 = 305,714,923,310.28/x - Step 3: Cross multiply
537,145,132,106.92x = 741,325,283,113.62 × 305,714,923,310.28 - Step 4: Simplify right side
537,145,132,106.92x = 226,634,202,075,051,977,605,120 - Step 5: Solve for x
x = 226,634,202,075,051,977,605,120/537,145,132,106.92 - Step 6: Final answer
x = 421,923,589,228.28
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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.