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Finding the Fourth Proportional to 2,600,687,260,607.50, 3,901,030,890,911.30 and 2,600,687,260,607.50

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Solution

The fourth proportional to 2,600,687,260,607.50, 3,901,030,890,911.30 and 2,600,687,260,607.50 is: 3,901,030,890,911.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600,687,260,607.50 : 3,901,030,890,911.30 = 2,600,687,260,607.50 : x
  2. Step 2: Convert to fraction form
    2,600,687,260,607.50/3,901,030,890,911.30 = 2,600,687,260,607.50/x
  3. Step 3: Cross multiply
    2,600,687,260,607.50x = 3,901,030,890,911.30 × 2,600,687,260,607.50
  4. Step 4: Simplify right side
    2,600,687,260,607.50x = 10,145,361,341,229,343,015,174,144
  5. Step 5: Solve for x
    x = 10,145,361,341,229,343,015,174,144/2,600,687,260,607.50
  6. Step 6: Final answer
    x = 3,901,030,890,911.30

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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.