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Finding the Fourth Proportional to 598,045,758.30, 897,068,637.45 and 598,045,758.30

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Solution

The fourth proportional to 598,045,758.30, 897,068,637.45 and 598,045,758.30 is: 897,068,637.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,045,758.30 : 897,068,637.45 = 598,045,758.30 : x
  2. Step 2: Convert to fraction form
    598,045,758.30/897,068,637.45 = 598,045,758.30/x
  3. Step 3: Cross multiply
    598,045,758.30x = 897,068,637.45 × 598,045,758.30
  4. Step 4: Simplify right side
    598,045,758.30x = 536,488,093,530,932,992
  5. Step 5: Solve for x
    x = 536,488,093,530,932,992/598,045,758.30
  6. Step 6: Final answer
    x = 897,068,637.45

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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.