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Finding the Fourth Proportional to 318,676,495.80, 478,014,743.70 and 189,217,468.20

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Solution

The fourth proportional to 318,676,495.80, 478,014,743.70 and 189,217,468.20 is: 283,826,202.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,676,495.80 : 478,014,743.70 = 189,217,468.20 : x
  2. Step 2: Convert to fraction form
    318,676,495.80/478,014,743.70 = 189,217,468.20/x
  3. Step 3: Cross multiply
    318,676,495.80x = 478,014,743.70 × 189,217,468.20
  4. Step 4: Simplify right side
    318,676,495.80x = 90,448,739,565,185,888
  5. Step 5: Solve for x
    x = 90,448,739,565,185,888/318,676,495.80
  6. Step 6: Final answer
    x = 283,826,202.30

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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.