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Finding the Fourth Proportional to 854,365,024.45, 1,198,832,012.15 and 854,365,024.45

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Solution

The fourth proportional to 854,365,024.45, 1,198,832,012.15 and 854,365,024.45 is: 1,198,832,012.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,365,024.45 : 1,198,832,012.15 = 854,365,024.45 : x
  2. Step 2: Convert to fraction form
    854,365,024.45/1,198,832,012.15 = 854,365,024.45/x
  3. Step 3: Cross multiply
    854,365,024.45x = 1,198,832,012.15 × 854,365,024.45
  4. Step 4: Simplify right side
    854,365,024.45x = 1,024,240,141,371,977,600
  5. Step 5: Solve for x
    x = 1,024,240,141,371,977,600/854,365,024.45
  6. Step 6: Final answer
    x = 1,198,832,012.15

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.