Finding the Fourth Proportional to 2,128,728,017,578.60, 3,193,092,063,257.70 and 517,051,038,712.90
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Solution
The fourth proportional to 2,128,728,017,578.60, 3,193,092,063,257.70 and 517,051,038,712.90 is: 775,576,567,029.59
Step by Step Solution
- Step 1: Write the proportion equation
2,128,728,017,578.60 : 3,193,092,063,257.70 = 517,051,038,712.90 : x - Step 2: Convert to fraction form
2,128,728,017,578.60/3,193,092,063,257.70 = 517,051,038,712.90/x - Step 3: Cross multiply
2,128,728,017,578.60x = 3,193,092,063,257.70 × 517,051,038,712.90 - Step 4: Simplify right side
2,128,728,017,578.60x = 1,650,991,568,013,311,046,844,416 - Step 5: Solve for x
x = 1,650,991,568,013,311,046,844,416/2,128,728,017,578.60 - Step 6: Final answer
x = 775,576,567,029.59
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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.