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Finding the Fourth Proportional to 316,980,942.10, 442,866,326.30 and 316,980,942.10

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Solution

The fourth proportional to 316,980,942.10, 442,866,326.30 and 316,980,942.10 is: 442,866,326.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,980,942.10 : 442,866,326.30 = 316,980,942.10 : x
  2. Step 2: Convert to fraction form
    316,980,942.10/442,866,326.30 = 316,980,942.10/x
  3. Step 3: Cross multiply
    316,980,942.10x = 442,866,326.30 × 316,980,942.10
  4. Step 4: Simplify right side
    316,980,942.10x = 140,380,185,334,940,016
  5. Step 5: Solve for x
    x = 140,380,185,334,940,016/316,980,942.10
  6. Step 6: Final answer
    x = 442,866,326.30

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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.