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Finding the Fourth Proportional to 897,467,212.80, 1,346,200,819.20 and 413,737,804.80

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Solution

The fourth proportional to 897,467,212.80, 1,346,200,819.20 and 413,737,804.80 is: 620,606,707.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,467,212.80 : 1,346,200,819.20 = 413,737,804.80 : x
  2. Step 2: Convert to fraction form
    897,467,212.80/1,346,200,819.20 = 413,737,804.80/x
  3. Step 3: Cross multiply
    897,467,212.80x = 1,346,200,819.20 × 413,737,804.80
  4. Step 4: Simplify right side
    897,467,212.80x = 556,974,171,755,769,728
  5. Step 5: Solve for x
    x = 556,974,171,755,769,728/897,467,212.80
  6. Step 6: Final answer
    x = 620,606,707.20

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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.