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Finding the Fourth Proportional to 323,523,072,024.30, 484,631,573,335.65 and 323,523,072,024.30

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Solution

The fourth proportional to 323,523,072,024.30, 484,631,573,335.65 and 323,523,072,024.30 is: 484,631,573,335.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,523,072,024.30 : 484,631,573,335.65 = 323,523,072,024.30 : x
  2. Step 2: Convert to fraction form
    323,523,072,024.30/484,631,573,335.65 = 323,523,072,024.30/x
  3. Step 3: Cross multiply
    323,523,072,024.30x = 484,631,573,335.65 × 323,523,072,024.30
  4. Step 4: Simplify right side
    323,523,072,024.30x = 156,789,495,405,519,327,723,520
  5. Step 5: Solve for x
    x = 156,789,495,405,519,327,723,520/323,523,072,024.30
  6. Step 6: Final answer
    x = 484,631,573,335.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.