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Finding the Fourth Proportional to 330,024,861,011.60, 495,037,291,517.40 and 330,024,861,011.60

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Solution

The fourth proportional to 330,024,861,011.60, 495,037,291,517.40 and 330,024,861,011.60 is: 495,037,291,517.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,024,861,011.60 : 495,037,291,517.40 = 330,024,861,011.60 : x
  2. Step 2: Convert to fraction form
    330,024,861,011.60/495,037,291,517.40 = 330,024,861,011.60/x
  3. Step 3: Cross multiply
    330,024,861,011.60x = 495,037,291,517.40 × 330,024,861,011.60
  4. Step 4: Simplify right side
    330,024,861,011.60x = 163,374,613,328,588,833,816,576
  5. Step 5: Solve for x
    x = 163,374,613,328,588,833,816,576/330,024,861,011.60
  6. Step 6: Final answer
    x = 495,037,291,517.40

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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.