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Finding the Fourth Proportional to 601,402,078.80, 902,103,118.20 and 458,074,846.80

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Solution

The fourth proportional to 601,402,078.80, 902,103,118.20 and 458,074,846.80 is: 687,112,270.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,402,078.80 : 902,103,118.20 = 458,074,846.80 : x
  2. Step 2: Convert to fraction form
    601,402,078.80/902,103,118.20 = 458,074,846.80/x
  3. Step 3: Cross multiply
    601,402,078.80x = 902,103,118.20 × 458,074,846.80
  4. Step 4: Simplify right side
    601,402,078.80x = 413,230,747,667,267,328
  5. Step 5: Solve for x
    x = 413,230,747,667,267,328/601,402,078.80
  6. Step 6: Final answer
    x = 687,112,270.20

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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.