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Finding the Fourth Proportional to 2,006,455,536,154, 3,009,683,304,231 and 2,006,455,536,154

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Solution

The fourth proportional to 2,006,455,536,154, 3,009,683,304,231 and 2,006,455,536,154 is: 3,009,683,304,231

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006,455,536,154 : 3,009,683,304,231 = 2,006,455,536,154 : x
  2. Step 2: Convert to fraction form
    2,006,455,536,154/3,009,683,304,231 = 2,006,455,536,154/x
  3. Step 3: Cross multiply
    2,006,455,536,154x = 3,009,683,304,231 × 2,006,455,536,154
  4. Step 4: Simplify right side
    2,006,455,536,154x = 6,038,795,727,844,553,426,731,008
  5. Step 5: Solve for x
    x = 6,038,795,727,844,553,426,731,008/2,006,455,536,154
  6. Step 6: Final answer
    x = 3,009,683,304,231

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.