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Finding the Fourth Proportional to 383,207,742, 528,826,915.63 and 206,995,815.20

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Solution

The fourth proportional to 383,207,742, 528,826,915.63 and 206,995,815.20 is: 285,654,350.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,207,742 : 528,826,915.63 = 206,995,815.20 : x
  2. Step 2: Convert to fraction form
    383,207,742/528,826,915.63 = 206,995,815.20/x
  3. Step 3: Cross multiply
    383,207,742x = 528,826,915.63 × 206,995,815.20
  4. Step 4: Simplify right side
    383,207,742x = 109,464,958,500,533,472
  5. Step 5: Solve for x
    x = 109,464,958,500,533,472/383,207,742
  6. Step 6: Final answer
    x = 285,654,350.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.