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Finding the Fourth Proportional to 340,598,874.40, 510,898,311.60 and 233,103,450.40

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Solution

The fourth proportional to 340,598,874.40, 510,898,311.60 and 233,103,450.40 is: 349,655,175.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,598,874.40 : 510,898,311.60 = 233,103,450.40 : x
  2. Step 2: Convert to fraction form
    340,598,874.40/510,898,311.60 = 233,103,450.40/x
  3. Step 3: Cross multiply
    340,598,874.40x = 510,898,311.60 × 233,103,450.40
  4. Step 4: Simplify right side
    340,598,874.40x = 119,092,159,237,494,352
  5. Step 5: Solve for x
    x = 119,092,159,237,494,352/340,598,874.40
  6. Step 6: Final answer
    x = 349,655,175.60

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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.