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Finding the Fourth Proportional to 612,135,855.60, 844,740,604.80 and 333,671,269.20

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Solution

The fourth proportional to 612,135,855.60, 844,740,604.80 and 333,671,269.20 is: 460,462,603.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,135,855.60 : 844,740,604.80 = 333,671,269.20 : x
  2. Step 2: Convert to fraction form
    612,135,855.60/844,740,604.80 = 333,671,269.20/x
  3. Step 3: Cross multiply
    612,135,855.60x = 844,740,604.80 × 333,671,269.20
  4. Step 4: Simplify right side
    612,135,855.60x = 281,865,669,748,391,584
  5. Step 5: Solve for x
    x = 281,865,669,748,391,584/612,135,855.60
  6. Step 6: Final answer
    x = 460,462,603.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.