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Finding the Fourth Proportional to 580,876,568.40, 815,267,929.20 and 580,876,568.40

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Solution

The fourth proportional to 580,876,568.40, 815,267,929.20 and 580,876,568.40 is: 815,267,929.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,876,568.40 : 815,267,929.20 = 580,876,568.40 : x
  2. Step 2: Convert to fraction form
    580,876,568.40/815,267,929.20 = 580,876,568.40/x
  3. Step 3: Cross multiply
    580,876,568.40x = 815,267,929.20 × 580,876,568.40
  4. Step 4: Simplify right side
    580,876,568.40x = 473,570,037,040,270,144
  5. Step 5: Solve for x
    x = 473,570,037,040,270,144/580,876,568.40
  6. Step 6: Final answer
    x = 815,267,929.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.