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Finding the Fourth Proportional to 656,192,671.60, 984,289,007.40 and 656,192,671.60

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Solution

The fourth proportional to 656,192,671.60, 984,289,007.40 and 656,192,671.60 is: 984,289,007.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,192,671.60 : 984,289,007.40 = 656,192,671.60 : x
  2. Step 2: Convert to fraction form
    656,192,671.60/984,289,007.40 = 656,192,671.60/x
  3. Step 3: Cross multiply
    656,192,671.60x = 984,289,007.40 × 656,192,671.60
  4. Step 4: Simplify right side
    656,192,671.60x = 645,883,233,392,318,208
  5. Step 5: Solve for x
    x = 645,883,233,392,318,208/656,192,671.60
  6. Step 6: Final answer
    x = 984,289,007.40

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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.