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Finding the Fourth Proportional to 323,523,072,022.80, 484,631,573,333.40 and 323,523,072,022.80

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Solution

The fourth proportional to 323,523,072,022.80, 484,631,573,333.40 and 323,523,072,022.80 is: 484,631,573,333.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,523,072,022.80 : 484,631,573,333.40 = 323,523,072,022.80 : x
  2. Step 2: Convert to fraction form
    323,523,072,022.80/484,631,573,333.40 = 323,523,072,022.80/x
  3. Step 3: Cross multiply
    323,523,072,022.80x = 484,631,573,333.40 × 323,523,072,022.80
  4. Step 4: Simplify right side
    323,523,072,022.80x = 156,789,495,404,064,441,106,432
  5. Step 5: Solve for x
    x = 156,789,495,404,064,441,106,432/323,523,072,022.80
  6. Step 6: Final answer
    x = 484,631,573,333.40

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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.