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Finding the Fourth Proportional to 2,006,455,536,748, 3,009,683,305,121.80 and 2,006,455,536,748

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Solution

The fourth proportional to 2,006,455,536,748, 3,009,683,305,121.80 and 2,006,455,536,748 is: 3,009,683,305,121.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006,455,536,748 : 3,009,683,305,121.80 = 2,006,455,536,748 : x
  2. Step 2: Convert to fraction form
    2,006,455,536,748/3,009,683,305,121.80 = 2,006,455,536,748/x
  3. Step 3: Cross multiply
    2,006,455,536,748x = 3,009,683,305,121.80 × 2,006,455,536,748
  4. Step 4: Simplify right side
    2,006,455,536,748x = 6,038,795,731,419,655,212,892,160
  5. Step 5: Solve for x
    x = 6,038,795,731,419,655,212,892,160/2,006,455,536,748
  6. Step 6: Final answer
    x = 3,009,683,305,121.80

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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.