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Finding the Fourth Proportional to 617,290,286.74, 929,630,645.82 and 562,190,483.86

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Solution

The fourth proportional to 617,290,286.74, 929,630,645.82 and 562,190,483.86 is: 846,651,103.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,290,286.74 : 929,630,645.82 = 562,190,483.86 : x
  2. Step 2: Convert to fraction form
    617,290,286.74/929,630,645.82 = 562,190,483.86/x
  3. Step 3: Cross multiply
    617,290,286.74x = 929,630,645.82 × 562,190,483.86
  4. Step 4: Simplify right side
    617,290,286.74x = 522,629,502,581,819,200
  5. Step 5: Solve for x
    x = 522,629,502,581,819,200/617,290,286.74
  6. Step 6: Final answer
    x = 846,651,103.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.