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Finding the Fourth Proportional to 5,342,334,831,311.70, 8,013,502,246,967.40 and 5,342,334,831,311.70

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Solution

The fourth proportional to 5,342,334,831,311.70, 8,013,502,246,967.40 and 5,342,334,831,311.70 is: 8,013,502,246,967.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,342,334,831,311.70 : 8,013,502,246,967.40 = 5,342,334,831,311.70 : x
  2. Step 2: Convert to fraction form
    5,342,334,831,311.70/8,013,502,246,967.40 = 5,342,334,831,311.70/x
  3. Step 3: Cross multiply
    5,342,334,831,311.70x = 8,013,502,246,967.40 × 5,342,334,831,311.70
  4. Step 4: Simplify right side
    5,342,334,831,311.70x = 42,810,812,174,768,516,745,920,512
  5. Step 5: Solve for x
    x = 42,810,812,174,768,516,745,920,512/5,342,334,831,311.70
  6. Step 6: Final answer
    x = 8,013,502,246,967.40

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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.