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Finding the Fourth Proportional to 256,245,409.80, 384,368,114.70 and 253,856,622.60

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Solution

The fourth proportional to 256,245,409.80, 384,368,114.70 and 253,856,622.60 is: 380,784,933.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,245,409.80 : 384,368,114.70 = 253,856,622.60 : x
  2. Step 2: Convert to fraction form
    256,245,409.80/384,368,114.70 = 253,856,622.60/x
  3. Step 3: Cross multiply
    256,245,409.80x = 384,368,114.70 × 253,856,622.60
  4. Step 4: Simplify right side
    256,245,409.80x = 97,574,391,432,871,408
  5. Step 5: Solve for x
    x = 97,574,391,432,871,408/256,245,409.80
  6. Step 6: Final answer
    x = 380,784,933.90

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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.