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Finding the Fourth Proportional to 317,327,977.80, 475,991,966.70 and 317,327,977.80

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Solution

The fourth proportional to 317,327,977.80, 475,991,966.70 and 317,327,977.80 is: 475,991,966.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,327,977.80 : 475,991,966.70 = 317,327,977.80 : x
  2. Step 2: Convert to fraction form
    317,327,977.80/475,991,966.70 = 317,327,977.80/x
  3. Step 3: Cross multiply
    317,327,977.80x = 475,991,966.70 × 317,327,977.80
  4. Step 4: Simplify right side
    317,327,977.80x = 151,045,568,241,955,936
  5. Step 5: Solve for x
    x = 151,045,568,241,955,936/317,327,977.80
  6. Step 6: Final answer
    x = 475,991,966.70

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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.