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Finding the Fourth Proportional to 255,829,862.40, 383,744,793.60 and 64,353,638.40

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Solution

The fourth proportional to 255,829,862.40, 383,744,793.60 and 64,353,638.40 is: 96,530,457.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,829,862.40 : 383,744,793.60 = 64,353,638.40 : x
  2. Step 2: Convert to fraction form
    255,829,862.40/383,744,793.60 = 64,353,638.40/x
  3. Step 3: Cross multiply
    255,829,862.40x = 383,744,793.60 × 64,353,638.40
  4. Step 4: Simplify right side
    255,829,862.40x = 24,695,373,685,217,036
  5. Step 5: Solve for x
    x = 24,695,373,685,217,036/255,829,862.40
  6. Step 6: Final answer
    x = 96,530,457.60

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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.