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Finding the Fourth Proportional to 600,223,007.34, 828,289,960.47 and 332,310,780.54

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Solution

The fourth proportional to 600,223,007.34, 828,289,960.47 and 332,310,780.54 is: 458,579,027.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,223,007.34 : 828,289,960.47 = 332,310,780.54 : x
  2. Step 2: Convert to fraction form
    600,223,007.34/828,289,960.47 = 332,310,780.54/x
  3. Step 3: Cross multiply
    600,223,007.34x = 828,289,960.47 × 332,310,780.54
  4. Step 4: Simplify right side
    600,223,007.34x = 275,249,683,277,231,488
  5. Step 5: Solve for x
    x = 275,249,683,277,231,488/600,223,007.34
  6. Step 6: Final answer
    x = 458,579,027.98

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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.