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Finding the Fourth Proportional to 474,984,007.65, 712,476,011.48 and 474,984,007.65

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Solution

The fourth proportional to 474,984,007.65, 712,476,011.48 and 474,984,007.65 is: 712,476,011.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,984,007.65 : 712,476,011.48 = 474,984,007.65 : x
  2. Step 2: Convert to fraction form
    474,984,007.65/712,476,011.48 = 474,984,007.65/x
  3. Step 3: Cross multiply
    474,984,007.65x = 712,476,011.48 × 474,984,007.65
  4. Step 4: Simplify right side
    474,984,007.65x = 338,414,711,284,882,880
  5. Step 5: Solve for x
    x = 338,414,711,284,882,880/474,984,007.65
  6. Step 6: Final answer
    x = 712,476,011.48

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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.