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Finding the Fourth Proportional to 5,299,968,009.40, 7,949,952,014.10 and 5,299,968,009.40

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Solution

The fourth proportional to 5,299,968,009.40, 7,949,952,014.10 and 5,299,968,009.40 is: 7,949,952,014.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,299,968,009.40 : 7,949,952,014.10 = 5,299,968,009.40 : x
  2. Step 2: Convert to fraction form
    5,299,968,009.40/7,949,952,014.10 = 5,299,968,009.40/x
  3. Step 3: Cross multiply
    5,299,968,009.40x = 7,949,952,014.10 × 5,299,968,009.40
  4. Step 4: Simplify right side
    5,299,968,009.40x = 42,134,491,350,995,099,648
  5. Step 5: Solve for x
    x = 42,134,491,350,995,099,648/5,299,968,009.40
  6. Step 6: Final answer
    x = 7,949,952,014.10

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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.