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Finding the Fourth Proportional to 398,655,404.70, 597,983,107.05 and 398,655,404.70

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Solution

The fourth proportional to 398,655,404.70, 597,983,107.05 and 398,655,404.70 is: 597,983,107.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,655,404.70 : 597,983,107.05 = 398,655,404.70 : x
  2. Step 2: Convert to fraction form
    398,655,404.70/597,983,107.05 = 398,655,404.70/x
  3. Step 3: Cross multiply
    398,655,404.70x = 597,983,107.05 × 398,655,404.70
  4. Step 4: Simplify right side
    398,655,404.70x = 238,389,197,544,781,152
  5. Step 5: Solve for x
    x = 238,389,197,544,781,152/398,655,404.70
  6. Step 6: Final answer
    x = 597,983,107.05

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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.