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Finding the Fourth Proportional to 2,006,455,510,505.30, 3,009,683,265,758.10 and 2,006,455,510,505.30

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Solution

The fourth proportional to 2,006,455,510,505.30, 3,009,683,265,758.10 and 2,006,455,510,505.30 is: 3,009,683,265,758.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006,455,510,505.30 : 3,009,683,265,758.10 = 2,006,455,510,505.30 : x
  2. Step 2: Convert to fraction form
    2,006,455,510,505.30/3,009,683,265,758.10 = 2,006,455,510,505.30/x
  3. Step 3: Cross multiply
    2,006,455,510,505.30x = 3,009,683,265,758.10 × 2,006,455,510,505.30
  4. Step 4: Simplify right side
    2,006,455,510,505.30x = 6,038,795,573,455,927,059,152,896
  5. Step 5: Solve for x
    x = 6,038,795,573,455,927,059,152,896/2,006,455,510,505.30
  6. Step 6: Final answer
    x = 3,009,683,265,758.10

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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.