Finding the Fourth Proportional to 2,382,017,804.58, 3,284,903,270.25 and 1,576,970,935.14
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Solution
The fourth proportional to 2,382,017,804.58, 3,284,903,270.25 and 1,576,970,935.14 is: 2,174,709,597.88
Step by Step Solution
- Step 1: Write the proportion equation
2,382,017,804.58 : 3,284,903,270.25 = 1,576,970,935.14 : x - Step 2: Convert to fraction form
2,382,017,804.58/3,284,903,270.25 = 1,576,970,935.14/x - Step 3: Cross multiply
2,382,017,804.58x = 3,284,903,270.25 × 1,576,970,935.14 - Step 4: Simplify right side
2,382,017,804.58x = 5,180,196,981,930,587,136 - Step 5: Solve for x
x = 5,180,196,981,930,587,136/2,382,017,804.58 - Step 6: Final answer
x = 2,174,709,597.88
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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.