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Finding the Fourth Proportional to 409,452,068.40, 614,178,102.60 and 254,483,872.80

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Solution

The fourth proportional to 409,452,068.40, 614,178,102.60 and 254,483,872.80 is: 381,725,809.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,452,068.40 : 614,178,102.60 = 254,483,872.80 : x
  2. Step 2: Convert to fraction form
    409,452,068.40/614,178,102.60 = 254,483,872.80/x
  3. Step 3: Cross multiply
    409,452,068.40x = 614,178,102.60 × 254,483,872.80
  4. Step 4: Simplify right side
    409,452,068.40x = 156,298,422,138,603,776
  5. Step 5: Solve for x
    x = 156,298,422,138,603,776/409,452,068.40
  6. Step 6: Final answer
    x = 381,725,809.20

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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.