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Finding the Fourth Proportional to 5,680,368,015.40, 8,520,552,023.12 and 5,680,368,015.40

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Solution

The fourth proportional to 5,680,368,015.40, 8,520,552,023.12 and 5,680,368,015.40 is: 8,520,552,023.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,680,368,015.40 : 8,520,552,023.12 = 5,680,368,015.40 : x
  2. Step 2: Convert to fraction form
    5,680,368,015.40/8,520,552,023.12 = 5,680,368,015.40/x
  3. Step 3: Cross multiply
    5,680,368,015.40x = 8,520,552,023.12 × 5,680,368,015.40
  4. Step 4: Simplify right side
    5,680,368,015.40x = 48,399,871,185,682,604,032
  5. Step 5: Solve for x
    x = 48,399,871,185,682,604,032/5,680,368,015.40
  6. Step 6: Final answer
    x = 8,520,552,023.12

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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.