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Finding the Fourth Proportional to 400,844,710.80, 559,973,271.60 and 400,844,710.80

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Solution

The fourth proportional to 400,844,710.80, 559,973,271.60 and 400,844,710.80 is: 559,973,271.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,844,710.80 : 559,973,271.60 = 400,844,710.80 : x
  2. Step 2: Convert to fraction form
    400,844,710.80/559,973,271.60 = 400,844,710.80/x
  3. Step 3: Cross multiply
    400,844,710.80x = 559,973,271.60 × 400,844,710.80
  4. Step 4: Simplify right side
    400,844,710.80x = 224,462,324,110,231,872
  5. Step 5: Solve for x
    x = 224,462,324,110,231,872/400,844,710.80
  6. Step 6: Final answer
    x = 559,973,271.60

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Why These Related Problems?

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