Finding the Fourth Proportional to 7,460,351,157.12, 10,296,187,378.24 and 4,246,042,659.84
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Solution
The fourth proportional to 7,460,351,157.12, 10,296,187,378.24 and 4,246,042,659.84 is: 5,860,052,686.66
Step by Step Solution
- Step 1: Write the proportion equation
7,460,351,157.12 : 10,296,187,378.24 = 4,246,042,659.84 : x - Step 2: Convert to fraction form
7,460,351,157.12/10,296,187,378.24 = 4,246,042,659.84/x - Step 3: Cross multiply
7,460,351,157.12x = 10,296,187,378.24 × 4,246,042,659.84 - Step 4: Simplify right side
7,460,351,157.12x = 43,718,050,841,713,205,248 - Step 5: Solve for x
x = 43,718,050,841,713,205,248/7,460,351,157.12 - Step 6: Final answer
x = 5,860,052,686.66
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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.