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Finding the Fourth Proportional to 6,378,277,711.40, 8,907,820,972.60 and 6,378,277,711.40

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Solution

The fourth proportional to 6,378,277,711.40, 8,907,820,972.60 and 6,378,277,711.40 is: 8,907,820,972.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378,277,711.40 : 8,907,820,972.60 = 6,378,277,711.40 : x
  2. Step 2: Convert to fraction form
    6,378,277,711.40/8,907,820,972.60 = 6,378,277,711.40/x
  3. Step 3: Cross multiply
    6,378,277,711.40x = 8,907,820,972.60 × 6,378,277,711.40
  4. Step 4: Simplify right side
    6,378,277,711.40x = 56,816,555,966,676,049,920
  5. Step 5: Solve for x
    x = 56,816,555,966,676,049,920/6,378,277,711.40
  6. Step 6: Final answer
    x = 8,907,820,972.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.