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Finding the Fourth Proportional to 317,047,144.10, 442,959,009.10 and 317,047,144.10

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Solution

The fourth proportional to 317,047,144.10, 442,959,009.10 and 317,047,144.10 is: 442,959,009.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,047,144.10 : 442,959,009.10 = 317,047,144.10 : x
  2. Step 2: Convert to fraction form
    317,047,144.10/442,959,009.10 = 317,047,144.10/x
  3. Step 3: Cross multiply
    317,047,144.10x = 442,959,009.10 × 317,047,144.10
  4. Step 4: Simplify right side
    317,047,144.10x = 140,438,888,788,520,928
  5. Step 5: Solve for x
    x = 140,438,888,788,520,928/317,047,144.10
  6. Step 6: Final answer
    x = 442,959,009.10

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