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Finding the Fourth Proportional to 413,404,266.60, 620,106,399.90 and 410,534,485.20

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Solution

The fourth proportional to 413,404,266.60, 620,106,399.90 and 410,534,485.20 is: 615,801,727.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,404,266.60 : 620,106,399.90 = 410,534,485.20 : x
  2. Step 2: Convert to fraction form
    413,404,266.60/620,106,399.90 = 410,534,485.20/x
  3. Step 3: Cross multiply
    413,404,266.60x = 620,106,399.90 × 410,534,485.20
  4. Step 4: Simplify right side
    413,404,266.60x = 254,575,061,652,171,808
  5. Step 5: Solve for x
    x = 254,575,061,652,171,808/413,404,266.60
  6. Step 6: Final answer
    x = 615,801,727.80

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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.