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Finding the Fourth Proportional to 9,323,267,796.40, 13,984,901,694.60 and 9,323,267,796.40

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Solution

The fourth proportional to 9,323,267,796.40, 13,984,901,694.60 and 9,323,267,796.40 is: 13,984,901,694.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,323,267,796.40 : 13,984,901,694.60 = 9,323,267,796.40 : x
  2. Step 2: Convert to fraction form
    9,323,267,796.40/13,984,901,694.60 = 9,323,267,796.40/x
  3. Step 3: Cross multiply
    9,323,267,796.40x = 13,984,901,694.60 × 9,323,267,796.40
  4. Step 4: Simplify right side
    9,323,267,796.40x = 130,384,983,605,083,963,392
  5. Step 5: Solve for x
    x = 130,384,983,605,083,963,392/9,323,267,796.40
  6. Step 6: Final answer
    x = 13,984,901,694.60

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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.