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Finding the Fourth Proportional to 488,896,649.40, 733,668,023.70 and 230,185,846.20

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Solution

The fourth proportional to 488,896,649.40, 733,668,023.70 and 230,185,846.20 is: 345,430,869.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,896,649.40 : 733,668,023.70 = 230,185,846.20 : x
  2. Step 2: Convert to fraction form
    488,896,649.40/733,668,023.70 = 230,185,846.20/x
  3. Step 3: Cross multiply
    488,896,649.40x = 733,668,023.70 × 230,185,846.20
  4. Step 4: Simplify right side
    488,896,649.40x = 168,879,994,865,266,144
  5. Step 5: Solve for x
    x = 168,879,994,865,266,144/488,896,649.40
  6. Step 6: Final answer
    x = 345,430,869.84

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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.