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Finding the Fourth Proportional to 6,643,070,714.20, 9,964,606,071.30 and 6,643,070,714.20

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Solution

The fourth proportional to 6,643,070,714.20, 9,964,606,071.30 and 6,643,070,714.20 is: 9,964,606,071.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643,070,714.20 : 9,964,606,071.30 = 6,643,070,714.20 : x
  2. Step 2: Convert to fraction form
    6,643,070,714.20/9,964,606,071.30 = 6,643,070,714.20/x
  3. Step 3: Cross multiply
    6,643,070,714.20x = 9,964,606,071.30 × 6,643,070,714.20
  4. Step 4: Simplify right side
    6,643,070,714.20x = 66,195,582,770,792,538,112
  5. Step 5: Solve for x
    x = 66,195,582,770,792,538,112/6,643,070,714.20
  6. Step 6: Final answer
    x = 9,964,606,071.30

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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.