Finding the Fourth Proportional to 3,205,832,103,474.70, 4,424,051,153,514.20 and 1,742,608,916,633
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Solution
The fourth proportional to 3,205,832,103,474.70, 4,424,051,153,514.20 and 1,742,608,916,633 is: 2,404,801,854,532.05
Step by Step Solution
- Step 1: Write the proportion equation
3,205,832,103,474.70 : 4,424,051,153,514.20 = 1,742,608,916,633 : x - Step 2: Convert to fraction form
3,205,832,103,474.70/4,424,051,153,514.20 = 1,742,608,916,633/x - Step 3: Cross multiply
3,205,832,103,474.70x = 4,424,051,153,514.20 × 1,742,608,916,633 - Step 4: Simplify right side
3,205,832,103,474.70x = 7,709,390,987,754,354,033,819,648 - Step 5: Solve for x
x = 7,709,390,987,754,354,033,819,648/3,205,832,103,474.70 - Step 6: Final answer
x = 2,404,801,854,532.05
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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.