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Finding the Fourth Proportional to 14,447,085,311.10, 21,670,627,966.65 and 14,447,085,311.10

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Solution

The fourth proportional to 14,447,085,311.10, 21,670,627,966.65 and 14,447,085,311.10 is: 21,670,627,966.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,447,085,311.10 : 21,670,627,966.65 = 14,447,085,311.10 : x
  2. Step 2: Convert to fraction form
    14,447,085,311.10/21,670,627,966.65 = 14,447,085,311.10/x
  3. Step 3: Cross multiply
    14,447,085,311.10x = 21,670,627,966.65 × 14,447,085,311.10
  4. Step 4: Simplify right side
    14,447,085,311.10x = 313,077,410,979,302,080,512
  5. Step 5: Solve for x
    x = 313,077,410,979,302,080,512/14,447,085,311.10
  6. Step 6: Final answer
    x = 21,670,627,966.65

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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.