Finding the Fourth Proportional to 265,953,652,065.44, 399,328,552,632.84 and 230,209,269,198.96
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Solution
The fourth proportional to 265,953,652,065.44, 399,328,552,632.84 and 230,209,269,198.96 is: 345,658,476,798.30
Step by Step Solution
- Step 1: Write the proportion equation
265,953,652,065.44 : 399,328,552,632.84 = 230,209,269,198.96 : x - Step 2: Convert to fraction form
265,953,652,065.44/399,328,552,632.84 = 230,209,269,198.96/x - Step 3: Cross multiply
265,953,652,065.44x = 399,328,552,632.84 × 230,209,269,198.96 - Step 4: Simplify right side
265,953,652,065.44x = 91,929,134,271,884,538,413,056 - Step 5: Solve for x
x = 91,929,134,271,884,538,413,056/265,953,652,065.44 - Step 6: Final answer
x = 345,658,476,798.30
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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.