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Finding the Fourth Proportional to 401,193,861.60, 601,790,792.40 and 171,611,349.60

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Solution

The fourth proportional to 401,193,861.60, 601,790,792.40 and 171,611,349.60 is: 257,417,024.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,193,861.60 : 601,790,792.40 = 171,611,349.60 : x
  2. Step 2: Convert to fraction form
    401,193,861.60/601,790,792.40 = 171,611,349.60/x
  3. Step 3: Cross multiply
    401,193,861.60x = 601,790,792.40 × 171,611,349.60
  4. Step 4: Simplify right side
    401,193,861.60x = 103,274,130,060,617,408
  5. Step 5: Solve for x
    x = 103,274,130,060,617,408/401,193,861.60
  6. Step 6: Final answer
    x = 257,417,024.40

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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.