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Finding the Fourth Proportional to 314,930,981.70, 472,396,472.55 and 295,783,359.30

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Solution

The fourth proportional to 314,930,981.70, 472,396,472.55 and 295,783,359.30 is: 443,675,038.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,930,981.70 : 472,396,472.55 = 295,783,359.30 : x
  2. Step 2: Convert to fraction form
    314,930,981.70/472,396,472.55 = 295,783,359.30/x
  3. Step 3: Cross multiply
    314,930,981.70x = 472,396,472.55 × 295,783,359.30
  4. Step 4: Simplify right side
    314,930,981.70x = 139,727,015,572,309,248
  5. Step 5: Solve for x
    x = 139,727,015,572,309,248/314,930,981.70
  6. Step 6: Final answer
    x = 443,675,038.95

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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.