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Finding the Fourth Proportional to 255,744,000.20, 383,616,000.30 and 153,623,347.40

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Solution

The fourth proportional to 255,744,000.20, 383,616,000.30 and 153,623,347.40 is: 230,435,021.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,744,000.20 : 383,616,000.30 = 153,623,347.40 : x
  2. Step 2: Convert to fraction form
    255,744,000.20/383,616,000.30 = 153,623,347.40/x
  3. Step 3: Cross multiply
    255,744,000.20x = 383,616,000.30 × 153,623,347.40
  4. Step 4: Simplify right side
    255,744,000.20x = 58,932,374,082,285,408
  5. Step 5: Solve for x
    x = 58,932,374,082,285,408/255,744,000.20
  6. Step 6: Final answer
    x = 230,435,021.10

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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.