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Finding the Fourth Proportional to 442,872,021.90, 664,308,032.85 and 442,872,021.90

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Solution

The fourth proportional to 442,872,021.90, 664,308,032.85 and 442,872,021.90 is: 664,308,032.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,872,021.90 : 664,308,032.85 = 442,872,021.90 : x
  2. Step 2: Convert to fraction form
    442,872,021.90/664,308,032.85 = 442,872,021.90/x
  3. Step 3: Cross multiply
    442,872,021.90x = 664,308,032.85 × 442,872,021.90
  4. Step 4: Simplify right side
    442,872,021.90x = 294,203,441,672,691,136
  5. Step 5: Solve for x
    x = 294,203,441,672,691,136/442,872,021.90
  6. Step 6: Final answer
    x = 664,308,032.85

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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.