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Finding the Fourth Proportional to 297,091,729,573.20, 445,637,594,359.80 and 297,091,729,573.20

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Solution

The fourth proportional to 297,091,729,573.20, 445,637,594,359.80 and 297,091,729,573.20 is: 445,637,594,359.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,091,729,573.20 : 445,637,594,359.80 = 297,091,729,573.20 : x
  2. Step 2: Convert to fraction form
    297,091,729,573.20/445,637,594,359.80 = 297,091,729,573.20/x
  3. Step 3: Cross multiply
    297,091,729,573.20x = 445,637,594,359.80 × 297,091,729,573.20
  4. Step 4: Simplify right side
    297,091,729,573.20x = 132,395,243,671,193,108,086,784
  5. Step 5: Solve for x
    x = 132,395,243,671,193,108,086,784/297,091,729,573.20
  6. Step 6: Final answer
    x = 445,637,594,359.80

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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.