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Finding the Fourth Proportional to 475,471,023.40, 664,298,943.80 and 475,471,023.40

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Solution

The fourth proportional to 475,471,023.40, 664,298,943.80 and 475,471,023.40 is: 664,298,943.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,471,023.40 : 664,298,943.80 = 475,471,023.40 : x
  2. Step 2: Convert to fraction form
    475,471,023.40/664,298,943.80 = 475,471,023.40/x
  3. Step 3: Cross multiply
    475,471,023.40x = 664,298,943.80 × 475,471,023.40
  4. Step 4: Simplify right side
    475,471,023.40x = 315,854,898,652,125,056
  5. Step 5: Solve for x
    x = 315,854,898,652,125,056/475,471,023.40
  6. Step 6: Final answer
    x = 664,298,943.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.