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Finding the Fourth Proportional to 281,723,759.60, 422,585,639.40 and 194,047,804.40

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Solution

The fourth proportional to 281,723,759.60, 422,585,639.40 and 194,047,804.40 is: 291,071,706.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,723,759.60 : 422,585,639.40 = 194,047,804.40 : x
  2. Step 2: Convert to fraction form
    281,723,759.60/422,585,639.40 = 194,047,804.40/x
  3. Step 3: Cross multiply
    281,723,759.60x = 422,585,639.40 × 194,047,804.40
  4. Step 4: Simplify right side
    281,723,759.60x = 82,001,815,496,540,128
  5. Step 5: Solve for x
    x = 82,001,815,496,540,128/281,723,759.60
  6. Step 6: Final answer
    x = 291,071,706.60

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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.