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Finding the Fourth Proportional to 481,188,884,033.40, 721,783,326,050.06 and 481,188,884,033.40

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Solution

The fourth proportional to 481,188,884,033.40, 721,783,326,050.06 and 481,188,884,033.40 is: 721,783,326,050.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,188,884,033.40 : 721,783,326,050.06 = 481,188,884,033.40 : x
  2. Step 2: Convert to fraction form
    481,188,884,033.40/721,783,326,050.06 = 481,188,884,033.40/x
  3. Step 3: Cross multiply
    481,188,884,033.40x = 721,783,326,050.06 × 481,188,884,033.40
  4. Step 4: Simplify right side
    481,188,884,033.40x = 347,314,113,175,944,087,732,224
  5. Step 5: Solve for x
    x = 347,314,113,175,944,087,732,224/481,188,884,033.40
  6. Step 6: Final answer
    x = 721,783,326,050.06

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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.