Finding the Fourth Proportional to 358,096,495,740.91, 494,216,498,583.66 and 203,809,689,378.02
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Solution
The fourth proportional to 358,096,495,740.91, 494,216,498,583.66 and 203,809,689,378.02 is: 281,282,035,037.58
Step by Step Solution
- Step 1: Write the proportion equation
358,096,495,740.91 : 494,216,498,583.66 = 203,809,689,378.02 : x - Step 2: Convert to fraction form
358,096,495,740.91/494,216,498,583.66 = 203,809,689,378.02/x - Step 3: Cross multiply
358,096,495,740.91x = 494,216,498,583.66 × 203,809,689,378.02 - Step 4: Simplify right side
358,096,495,740.91x = 100,726,111,061,828,400,316,416 - Step 5: Solve for x
x = 100,726,111,061,828,400,316,416/358,096,495,740.91 - Step 6: Final answer
x = 281,282,035,037.58
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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.