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Finding the Fourth Proportional to 388,224,620,020.40, 582,336,930,030.64 and 388,224,620,020.40

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Solution

The fourth proportional to 388,224,620,020.40, 582,336,930,030.64 and 388,224,620,020.40 is: 582,336,930,030.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,224,620,020.40 : 582,336,930,030.64 = 388,224,620,020.40 : x
  2. Step 2: Convert to fraction form
    388,224,620,020.40/582,336,930,030.64 = 388,224,620,020.40/x
  3. Step 3: Cross multiply
    388,224,620,020.40x = 582,336,930,030.64 × 388,224,620,020.40
  4. Step 4: Simplify right side
    388,224,620,020.40x = 226,077,533,384,991,479,693,312
  5. Step 5: Solve for x
    x = 226,077,533,384,991,479,693,312/388,224,620,020.40
  6. Step 6: Final answer
    x = 582,336,930,030.64

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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.