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Finding the Fourth Proportional to 287,494,704,004.70, 431,242,056,007.06 and 287,494,704,004.70

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Solution

The fourth proportional to 287,494,704,004.70, 431,242,056,007.06 and 287,494,704,004.70 is: 431,242,056,007.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,494,704,004.70 : 431,242,056,007.06 = 287,494,704,004.70 : x
  2. Step 2: Convert to fraction form
    287,494,704,004.70/431,242,056,007.06 = 287,494,704,004.70/x
  3. Step 3: Cross multiply
    287,494,704,004.70x = 431,242,056,007.06 × 287,494,704,004.70
  4. Step 4: Simplify right side
    287,494,704,004.70x = 123,979,807,246,127,982,444,544
  5. Step 5: Solve for x
    x = 123,979,807,246,127,982,444,544/287,494,704,004.70
  6. Step 6: Final answer
    x = 431,242,056,007.06

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1.5x scale

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.