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Finding the Fourth Proportional to 323,523,072,024.80, 484,631,573,336.40 and 323,523,072,024.80

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Solution

The fourth proportional to 323,523,072,024.80, 484,631,573,336.40 and 323,523,072,024.80 is: 484,631,573,336.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,523,072,024.80 : 484,631,573,336.40 = 323,523,072,024.80 : x
  2. Step 2: Convert to fraction form
    323,523,072,024.80/484,631,573,336.40 = 323,523,072,024.80/x
  3. Step 3: Cross multiply
    323,523,072,024.80x = 484,631,573,336.40 × 323,523,072,024.80
  4. Step 4: Simplify right side
    323,523,072,024.80x = 156,789,495,406,004,289,929,216
  5. Step 5: Solve for x
    x = 156,789,495,406,004,289,929,216/323,523,072,024.80
  6. Step 6: Final answer
    x = 484,631,573,336.40

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1.5x scale

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.