Finding the Fourth Proportional to 475,435,862.74, 713,202,712.50 and 164,542,933.09
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Solution
The fourth proportional to 475,435,862.74, 713,202,712.50 and 164,542,933.09 is: 246,831,329.73
Step by Step Solution
- Step 1: Write the proportion equation
475,435,862.74 : 713,202,712.50 = 164,542,933.09 : x - Step 2: Convert to fraction form
475,435,862.74/713,202,712.50 = 164,542,933.09/x - Step 3: Cross multiply
475,435,862.74x = 713,202,712.50 × 164,542,933.09 - Step 4: Simplify right side
475,435,862.74x = 117,352,466,202,494,016 - Step 5: Solve for x
x = 117,352,466,202,494,016/475,435,862.74 - Step 6: Final answer
x = 246,831,329.73
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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.