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Finding the Fourth Proportional to 476,656,221.60, 715,656,178.80 and 295,257,693.60

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Solution

The fourth proportional to 476,656,221.60, 715,656,178.80 and 295,257,693.60 is: 443,302,705.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,656,221.60 : 715,656,178.80 = 295,257,693.60 : x
  2. Step 2: Convert to fraction form
    476,656,221.60/715,656,178.80 = 295,257,693.60/x
  3. Step 3: Cross multiply
    476,656,221.60x = 715,656,178.80 × 295,257,693.60
  4. Step 4: Simplify right side
    476,656,221.60x = 211,302,992,763,077,216
  5. Step 5: Solve for x
    x = 211,302,992,763,077,216/476,656,221.60
  6. Step 6: Final answer
    x = 443,302,705.78

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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.