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Finding the Fourth Proportional to 6,860,756,027.70, 10,271,763,017.10 and 6,860,756,027.70

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Solution

The fourth proportional to 6,860,756,027.70, 10,271,763,017.10 and 6,860,756,027.70 is: 10,271,763,017.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,860,756,027.70 : 10,271,763,017.10 = 6,860,756,027.70 : x
  2. Step 2: Convert to fraction form
    6,860,756,027.70/10,271,763,017.10 = 6,860,756,027.70/x
  3. Step 3: Cross multiply
    6,860,756,027.70x = 10,271,763,017.10 × 6,860,756,027.70
  4. Step 4: Simplify right side
    6,860,756,027.70x = 70,472,060,034,674,761,728
  5. Step 5: Solve for x
    x = 70,472,060,034,674,761,728/6,860,756,027.70
  6. Step 6: Final answer
    x = 10,271,763,017.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.