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Finding the Fourth Proportional to 2,003,347,366,922.30, 3,005,021,050,383.50 and 2,003,347,366,922.30

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Solution

The fourth proportional to 2,003,347,366,922.30, 3,005,021,050,383.50 and 2,003,347,366,922.30 is: 3,005,021,050,383.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003,347,366,922.30 : 3,005,021,050,383.50 = 2,003,347,366,922.30 : x
  2. Step 2: Convert to fraction form
    2,003,347,366,922.30/3,005,021,050,383.50 = 2,003,347,366,922.30/x
  3. Step 3: Cross multiply
    2,003,347,366,922.30x = 3,005,021,050,383.50 × 2,003,347,366,922.30
  4. Step 4: Simplify right side
    2,003,347,366,922.30x = 6,020,101,008,831,869,211,377,664
  5. Step 5: Solve for x
    x = 6,020,101,008,831,869,211,377,664/2,003,347,366,922.30
  6. Step 6: Final answer
    x = 3,005,021,050,383.50

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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.