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Finding the Fourth Proportional to 470,103,497.70, 705,155,246.55 and 394,856,700.90

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Solution

The fourth proportional to 470,103,497.70, 705,155,246.55 and 394,856,700.90 is: 592,285,051.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,103,497.70 : 705,155,246.55 = 394,856,700.90 : x
  2. Step 2: Convert to fraction form
    470,103,497.70/705,155,246.55 = 394,856,700.90/x
  3. Step 3: Cross multiply
    470,103,497.70x = 705,155,246.55 × 394,856,700.90
  4. Step 4: Simplify right side
    470,103,497.70x = 278,435,274,275,059,072
  5. Step 5: Solve for x
    x = 278,435,274,275,059,072/470,103,497.70
  6. Step 6: Final answer
    x = 592,285,051.35

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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.