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Finding the Fourth Proportional to 458,283,744,007.30, 687,425,616,010.95 and 458,283,744,007.30

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Solution

The fourth proportional to 458,283,744,007.30, 687,425,616,010.95 and 458,283,744,007.30 is: 687,425,616,010.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,283,744,007.30 : 687,425,616,010.95 = 458,283,744,007.30 : x
  2. Step 2: Convert to fraction form
    458,283,744,007.30/687,425,616,010.95 = 458,283,744,007.30/x
  3. Step 3: Cross multiply
    458,283,744,007.30x = 687,425,616,010.95 × 458,283,744,007.30
  4. Step 4: Simplify right side
    458,283,744,007.30x = 315,035,985,032,022,717,366,272
  5. Step 5: Solve for x
    x = 315,035,985,032,022,717,366,272/458,283,744,007.30
  6. Step 6: Final answer
    x = 687,425,616,010.95

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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.