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Finding the Fourth Proportional to 422,641,090.80, 592,503,742.80 and 422,641,090.80

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Solution

The fourth proportional to 422,641,090.80, 592,503,742.80 and 422,641,090.80 is: 592,503,742.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,641,090.80 : 592,503,742.80 = 422,641,090.80 : x
  2. Step 2: Convert to fraction form
    422,641,090.80/592,503,742.80 = 422,641,090.80/x
  3. Step 3: Cross multiply
    422,641,090.80x = 592,503,742.80 × 422,641,090.80
  4. Step 4: Simplify right side
    422,641,090.80x = 250,416,428,160,074,624
  5. Step 5: Solve for x
    x = 250,416,428,160,074,624/422,641,090.80
  6. Step 6: Final answer
    x = 592,503,742.80

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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.