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Finding the Fourth Proportional to 543,856,226.10, 815,784,339.15 and 469,879,638.90

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Solution

The fourth proportional to 543,856,226.10, 815,784,339.15 and 469,879,638.90 is: 704,819,458.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,856,226.10 : 815,784,339.15 = 469,879,638.90 : x
  2. Step 2: Convert to fraction form
    543,856,226.10/815,784,339.15 = 469,879,638.90/x
  3. Step 3: Cross multiply
    543,856,226.10x = 815,784,339.15 × 469,879,638.90
  4. Step 4: Simplify right side
    543,856,226.10x = 383,320,450,700,077,120
  5. Step 5: Solve for x
    x = 383,320,450,700,077,120/543,856,226.10
  6. Step 6: Final answer
    x = 704,819,458.35

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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.