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Finding the Fourth Proportional to 400,713,704,922.45, 601,070,557,383.70 and 400,713,704,922.45

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Solution

The fourth proportional to 400,713,704,922.45, 601,070,557,383.70 and 400,713,704,922.45 is: 601,070,557,383.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,713,704,922.45 : 601,070,557,383.70 = 400,713,704,922.45 : x
  2. Step 2: Convert to fraction form
    400,713,704,922.45/601,070,557,383.70 = 400,713,704,922.45/x
  3. Step 3: Cross multiply
    400,713,704,922.45x = 601,070,557,383.70 × 400,713,704,922.45
  4. Step 4: Simplify right side
    400,713,704,922.45x = 240,857,209,969,024,484,507,648
  5. Step 5: Solve for x
    x = 240,857,209,969,024,484,507,648/400,713,704,922.45
  6. Step 6: Final answer
    x = 601,070,557,383.70

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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.