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Finding the Fourth Proportional to 682,019,232.40, 1,023,028,848.60 and 682,019,232.40

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Solution

The fourth proportional to 682,019,232.40, 1,023,028,848.60 and 682,019,232.40 is: 1,023,028,848.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,019,232.40 : 1,023,028,848.60 = 682,019,232.40 : x
  2. Step 2: Convert to fraction form
    682,019,232.40/1,023,028,848.60 = 682,019,232.40/x
  3. Step 3: Cross multiply
    682,019,232.40x = 1,023,028,848.60 × 682,019,232.40
  4. Step 4: Simplify right side
    682,019,232.40x = 697,725,350,045,227,776
  5. Step 5: Solve for x
    x = 697,725,350,045,227,776/682,019,232.40
  6. Step 6: Final answer
    x = 1,023,028,848.60

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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.