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Finding the Fourth Proportional to 620,576,235,200.85, 930,864,352,801.29 and 620,576,235,200.85

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Solution

The fourth proportional to 620,576,235,200.85, 930,864,352,801.29 and 620,576,235,200.85 is: 930,864,352,801.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,576,235,200.85 : 930,864,352,801.29 = 620,576,235,200.85 : x
  2. Step 2: Convert to fraction form
    620,576,235,200.85/930,864,352,801.29 = 620,576,235,200.85/x
  3. Step 3: Cross multiply
    620,576,235,200.85x = 930,864,352,801.29 × 620,576,235,200.85
  4. Step 4: Simplify right side
    620,576,235,200.85x = 577,672,295,544,100,384,407,552
  5. Step 5: Solve for x
    x = 577,672,295,544,100,384,407,552/620,576,235,200.85
  6. Step 6: Final answer
    x = 930,864,352,801.29

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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.