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Finding the Fourth Proportional to 470,198,672.90, 705,298,009.35 and 470,198,672.90

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Solution

The fourth proportional to 470,198,672.90, 705,298,009.35 and 470,198,672.90 is: 705,298,009.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,198,672.90 : 705,298,009.35 = 470,198,672.90 : x
  2. Step 2: Convert to fraction form
    470,198,672.90/705,298,009.35 = 470,198,672.90/x
  3. Step 3: Cross multiply
    470,198,672.90x = 705,298,009.35 × 470,198,672.90
  4. Step 4: Simplify right side
    470,198,672.90x = 331,630,187,995,381,760
  5. Step 5: Solve for x
    x = 331,630,187,995,381,760/470,198,672.90
  6. Step 6: Final answer
    x = 705,298,009.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.