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Finding the Fourth Proportional to 451,821,602.40, 677,732,404.05 and 451,821,602.40

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Solution

The fourth proportional to 451,821,602.40, 677,732,404.05 and 451,821,602.40 is: 677,732,404.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,821,602.40 : 677,732,404.05 = 451,821,602.40 : x
  2. Step 2: Convert to fraction form
    451,821,602.40/677,732,404.05 = 451,821,602.40/x
  3. Step 3: Cross multiply
    451,821,602.40x = 677,732,404.05 × 451,821,602.40
  4. Step 4: Simplify right side
    451,821,602.40x = 306,214,140,796,275,200
  5. Step 5: Solve for x
    x = 306,214,140,796,275,200/451,821,602.40
  6. Step 6: Final answer
    x = 677,732,404.05

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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.