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Finding the Fourth Proportional to 2,006,455,536,152, 3,009,683,304,227.80 and 2,006,455,536,152

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Solution

The fourth proportional to 2,006,455,536,152, 3,009,683,304,227.80 and 2,006,455,536,152 is: 3,009,683,304,227.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006,455,536,152 : 3,009,683,304,227.80 = 2,006,455,536,152 : x
  2. Step 2: Convert to fraction form
    2,006,455,536,152/3,009,683,304,227.80 = 2,006,455,536,152/x
  3. Step 3: Cross multiply
    2,006,455,536,152x = 3,009,683,304,227.80 × 2,006,455,536,152
  4. Step 4: Simplify right side
    2,006,455,536,152x = 6,038,795,727,832,113,053,958,144
  5. Step 5: Solve for x
    x = 6,038,795,727,832,113,053,958,144/2,006,455,536,152
  6. Step 6: Final answer
    x = 3,009,683,304,227.80

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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.