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Finding the Fourth Proportional to 297,984,004.70, 446,976,007.05 and 297,984,004.70

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Solution

The fourth proportional to 297,984,004.70, 446,976,007.05 and 297,984,004.70 is: 446,976,007.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,984,004.70 : 446,976,007.05 = 297,984,004.70 : x
  2. Step 2: Convert to fraction form
    297,984,004.70/446,976,007.05 = 297,984,004.70/x
  3. Step 3: Cross multiply
    297,984,004.70x = 446,976,007.05 × 297,984,004.70
  4. Step 4: Simplify right side
    297,984,004.70x = 133,191,700,585,574,432
  5. Step 5: Solve for x
    x = 133,191,700,585,574,432/297,984,004.70
  6. Step 6: Final answer
    x = 446,976,007.05

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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.