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Finding the Fourth Proportional to 2,006,455,536,160, 3,009,683,304,239.80 and 2,006,455,536,160

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Solution

The fourth proportional to 2,006,455,536,160, 3,009,683,304,239.80 and 2,006,455,536,160 is: 3,009,683,304,239.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006,455,536,160 : 3,009,683,304,239.80 = 2,006,455,536,160 : x
  2. Step 2: Convert to fraction form
    2,006,455,536,160/3,009,683,304,239.80 = 2,006,455,536,160/x
  3. Step 3: Cross multiply
    2,006,455,536,160x = 3,009,683,304,239.80 × 2,006,455,536,160
  4. Step 4: Simplify right side
    2,006,455,536,160x = 6,038,795,727,880,268,227,280,896
  5. Step 5: Solve for x
    x = 6,038,795,727,880,268,227,280,896/2,006,455,536,160
  6. Step 6: Final answer
    x = 3,009,683,304,239.80

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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.