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Finding the Fourth Proportional to 402,389,614.80, 603,584,422.20 and 364,125,862.80

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Solution

The fourth proportional to 402,389,614.80, 603,584,422.20 and 364,125,862.80 is: 546,188,794.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,389,614.80 : 603,584,422.20 = 364,125,862.80 : x
  2. Step 2: Convert to fraction form
    402,389,614.80/603,584,422.20 = 364,125,862.80/x
  3. Step 3: Cross multiply
    402,389,614.80x = 603,584,422.20 × 364,125,862.80
  4. Step 4: Simplify right side
    402,389,614.80x = 219,780,698,506,214,496
  5. Step 5: Solve for x
    x = 219,780,698,506,214,496/402,389,614.80
  6. Step 6: Final answer
    x = 546,188,794.20

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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.