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Finding the Fourth Proportional to 536,064,015.40, 804,096,023.10 and 536,064,015.40

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Solution

The fourth proportional to 536,064,015.40, 804,096,023.10 and 536,064,015.40 is: 804,096,023.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,064,015.40 : 804,096,023.10 = 536,064,015.40 : x
  2. Step 2: Convert to fraction form
    536,064,015.40/804,096,023.10 = 536,064,015.40/x
  3. Step 3: Cross multiply
    536,064,015.40x = 804,096,023.10 × 536,064,015.40
  4. Step 4: Simplify right side
    536,064,015.40x = 431,046,942,910,157,120
  5. Step 5: Solve for x
    x = 431,046,942,910,157,120/536,064,015.40
  6. Step 6: Final answer
    x = 804,096,023.10

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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.