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Finding the Fourth Proportional to 422,208,064.80, 633,312,097.20 and 422,208,064.80

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Solution

The fourth proportional to 422,208,064.80, 633,312,097.20 and 422,208,064.80 is: 633,312,097.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,208,064.80 : 633,312,097.20 = 422,208,064.80 : x
  2. Step 2: Convert to fraction form
    422,208,064.80/633,312,097.20 = 422,208,064.80/x
  3. Step 3: Cross multiply
    422,208,064.80x = 633,312,097.20 × 422,208,064.80
  4. Step 4: Simplify right side
    422,208,064.80x = 267,389,474,973,241,536
  5. Step 5: Solve for x
    x = 267,389,474,973,241,536/422,208,064.80
  6. Step 6: Final answer
    x = 633,312,097.20

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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.