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Finding the Fourth Proportional to 474,046,815.70, 664,119,038.30 and 474,046,815.70

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Solution

The fourth proportional to 474,046,815.70, 664,119,038.30 and 474,046,815.70 is: 664,119,038.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,046,815.70 : 664,119,038.30 = 474,046,815.70 : x
  2. Step 2: Convert to fraction form
    474,046,815.70/664,119,038.30 = 474,046,815.70/x
  3. Step 3: Cross multiply
    474,046,815.70x = 664,119,038.30 × 474,046,815.70
  4. Step 4: Simplify right side
    474,046,815.70x = 314,823,515,351,861,312
  5. Step 5: Solve for x
    x = 314,823,515,351,861,312/474,046,815.70
  6. Step 6: Final answer
    x = 664,119,038.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.