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Finding the Fourth Proportional to 2,016,076,878,000.10, 3,024,115,317,000.10 and 2,016,076,878,000.10

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Solution

The fourth proportional to 2,016,076,878,000.10, 3,024,115,317,000.10 and 2,016,076,878,000.10 is: 3,024,115,317,000.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016,076,878,000.10 : 3,024,115,317,000.10 = 2,016,076,878,000.10 : x
  2. Step 2: Convert to fraction form
    2,016,076,878,000.10/3,024,115,317,000.10 = 2,016,076,878,000.10/x
  3. Step 3: Cross multiply
    2,016,076,878,000.10x = 3,024,115,317,000.10 × 2,016,076,878,000.10
  4. Step 4: Simplify right side
    2,016,076,878,000.10x = 6,096,848,967,009,844,483,588,096
  5. Step 5: Solve for x
    x = 6,096,848,967,009,844,483,588,096/2,016,076,878,000.10
  6. Step 6: Final answer
    x = 3,024,115,317,000.10

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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.