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Finding the Fourth Proportional to 294,058,469,869.80, 441,087,704,804.70 and 294,058,469,869.80

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Solution

The fourth proportional to 294,058,469,869.80, 441,087,704,804.70 and 294,058,469,869.80 is: 441,087,704,804.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,058,469,869.80 : 441,087,704,804.70 = 294,058,469,869.80 : x
  2. Step 2: Convert to fraction form
    294,058,469,869.80/441,087,704,804.70 = 294,058,469,869.80/x
  3. Step 3: Cross multiply
    294,058,469,869.80x = 441,087,704,804.70 × 294,058,469,869.80
  4. Step 4: Simplify right side
    294,058,469,869.80x = 129,705,575,553,252,104,077,312
  5. Step 5: Solve for x
    x = 129,705,575,553,252,104,077,312/294,058,469,869.80
  6. Step 6: Final answer
    x = 441,087,704,804.70

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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.