Finding the Fourth Proportional to 259,006,018,135.26, 357,404,318,509.14 and 143,260,286,608.95
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Solution
The fourth proportional to 259,006,018,135.26, 357,404,318,509.14 and 143,260,286,608.95 is: 197,685,928,201.70
Step by Step Solution
- Step 1: Write the proportion equation
259,006,018,135.26 : 357,404,318,509.14 = 143,260,286,608.95 : x - Step 2: Convert to fraction form
259,006,018,135.26/357,404,318,509.14 = 143,260,286,608.95/x - Step 3: Cross multiply
259,006,018,135.26x = 357,404,318,509.14 × 143,260,286,608.95 - Step 4: Simplify right side
259,006,018,135.26x = 51,201,845,104,895,858,835,456 - Step 5: Solve for x
x = 51,201,845,104,895,858,835,456/259,006,018,135.26 - Step 6: Final answer
x = 197,685,928,201.70
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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.