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Finding the Fourth Proportional to 419,905,078.80, 628,723,877.40 and 419,905,078.80

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Solution

The fourth proportional to 419,905,078.80, 628,723,877.40 and 419,905,078.80 is: 628,723,877.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,905,078.80 : 628,723,877.40 = 419,905,078.80 : x
  2. Step 2: Convert to fraction form
    419,905,078.80/628,723,877.40 = 419,905,078.80/x
  3. Step 3: Cross multiply
    419,905,078.80x = 628,723,877.40 × 419,905,078.80
  4. Step 4: Simplify right side
    419,905,078.80x = 264,004,349,283,088,544
  5. Step 5: Solve for x
    x = 264,004,349,283,088,544/419,905,078.80
  6. Step 6: Final answer
    x = 628,723,877.40

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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.