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Finding the Fourth Proportional to 481,188,884,029.16, 721,783,326,043.70 and 481,188,884,029.16

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Solution

The fourth proportional to 481,188,884,029.16, 721,783,326,043.70 and 481,188,884,029.16 is: 721,783,326,043.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,188,884,029.16 : 721,783,326,043.70 = 481,188,884,029.16 : x
  2. Step 2: Convert to fraction form
    481,188,884,029.16/721,783,326,043.70 = 481,188,884,029.16/x
  3. Step 3: Cross multiply
    481,188,884,029.16x = 721,783,326,043.70 × 481,188,884,029.16
  4. Step 4: Simplify right side
    481,188,884,029.16x = 347,314,113,169,823,289,573,376
  5. Step 5: Solve for x
    x = 347,314,113,169,823,289,573,376/481,188,884,029.16
  6. Step 6: Final answer
    x = 721,783,326,043.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.