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Finding the Fourth Proportional to 2,006,455,536,745, 3,009,683,305,117.30 and 2,006,455,536,745

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Solution

The fourth proportional to 2,006,455,536,745, 3,009,683,305,117.30 and 2,006,455,536,745 is: 3,009,683,305,117.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006,455,536,745 : 3,009,683,305,117.30 = 2,006,455,536,745 : x
  2. Step 2: Convert to fraction form
    2,006,455,536,745/3,009,683,305,117.30 = 2,006,455,536,745/x
  3. Step 3: Cross multiply
    2,006,455,536,745x = 3,009,683,305,117.30 × 2,006,455,536,745
  4. Step 4: Simplify right side
    2,006,455,536,745x = 6,038,795,731,401,597,022,896,128
  5. Step 5: Solve for x
    x = 6,038,795,731,401,597,022,896,128/2,006,455,536,745
  6. Step 6: Final answer
    x = 3,009,683,305,117.30

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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.