Finding the Fourth Proportional to 266,800,717,442.70, 368,174,663,619.91 and 144,862,660,976.95
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Solution
The fourth proportional to 266,800,717,442.70, 368,174,663,619.91 and 144,862,660,976.95 is: 199,904,865,277.31
Step by Step Solution
- Step 1: Write the proportion equation
266,800,717,442.70 : 368,174,663,619.91 = 144,862,660,976.95 : x - Step 2: Convert to fraction form
266,800,717,442.70/368,174,663,619.91 = 144,862,660,976.95/x - Step 3: Cross multiply
266,800,717,442.70x = 368,174,663,619.91 × 144,862,660,976.95 - Step 4: Simplify right side
266,800,717,442.70x = 53,334,761,476,273,626,677,248 - Step 5: Solve for x
x = 53,334,761,476,273,626,677,248/266,800,717,442.70 - Step 6: Final answer
x = 199,904,865,277.31
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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.