Finding the Fourth Proportional to 2,472,396,804,576, 3,708,595,206,863.80 and 2,472,396,804,576
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Solution
The fourth proportional to 2,472,396,804,576, 3,708,595,206,863.80 and 2,472,396,804,576 is: 3,708,595,206,863.80
Step by Step Solution
- Step 1: Write the proportion equation
2,472,396,804,576 : 3,708,595,206,863.80 = 2,472,396,804,576 : x - Step 2: Convert to fraction form
2,472,396,804,576/3,708,595,206,863.80 = 2,472,396,804,576/x - Step 3: Cross multiply
2,472,396,804,576x = 3,708,595,206,863.80 × 2,472,396,804,576 - Step 4: Simplify right side
2,472,396,804,576x = 9,169,118,938,915,928,484,610,048 - Step 5: Solve for x
x = 9,169,118,938,915,928,484,610,048/2,472,396,804,576 - Step 6: Final answer
x = 3,708,595,206,863.80
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.