Finding the Fourth Proportional to 164,709,127,523.26, 227,286,121,875.35 and 92,437,234,320.58
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Solution
The fourth proportional to 164,709,127,523.26, 227,286,121,875.35 and 92,437,234,320.58 is: 127,556,382,706.48
Step by Step Solution
- Step 1: Write the proportion equation
164,709,127,523.26 : 227,286,121,875.35 = 92,437,234,320.58 : x - Step 2: Convert to fraction form
164,709,127,523.26/227,286,121,875.35 = 92,437,234,320.58/x - Step 3: Cross multiply
164,709,127,523.26x = 227,286,121,875.35 × 92,437,234,320.58 - Step 4: Simplify right side
164,709,127,523.26x = 21,009,700,505,606,948,913,152 - Step 5: Solve for x
x = 21,009,700,505,606,948,913,152/164,709,127,523.26 - Step 6: Final answer
x = 127,556,382,706.48
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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.