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Finding the Fourth Proportional to 488,396,958.70, 732,595,438.05 and 294,686,714.20

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Solution

The fourth proportional to 488,396,958.70, 732,595,438.05 and 294,686,714.20 is: 442,030,071.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,396,958.70 : 732,595,438.05 = 294,686,714.20 : x
  2. Step 2: Convert to fraction form
    488,396,958.70/732,595,438.05 = 294,686,714.20/x
  3. Step 3: Cross multiply
    488,396,958.70x = 732,595,438.05 × 294,686,714.20
  4. Step 4: Simplify right side
    488,396,958.70x = 215,886,142,476,864,128
  5. Step 5: Solve for x
    x = 215,886,142,476,864,128/488,396,958.70
  6. Step 6: Final answer
    x = 442,030,071.30

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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.