Finding the Fourth Proportional to 543,250,217,121.14, 749,663,472,976.26 and 296,047,246,421.18
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Solution
The fourth proportional to 543,250,217,121.14, 749,663,472,976.26 and 296,047,246,421.18 is: 408,533,305,505.65
Step by Step Solution
- Step 1: Write the proportion equation
543,250,217,121.14 : 749,663,472,976.26 = 296,047,246,421.18 : x - Step 2: Convert to fraction form
543,250,217,121.14/749,663,472,976.26 = 296,047,246,421.18/x - Step 3: Cross multiply
543,250,217,121.14x = 749,663,472,976.26 × 296,047,246,421.18 - Step 4: Simplify right side
543,250,217,121.14x = 221,935,806,917,160,447,508,480 - Step 5: Solve for x
x = 221,935,806,917,160,447,508,480/543,250,217,121.14 - Step 6: Final answer
x = 408,533,305,505.65
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.