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Finding the Fourth Proportional to 6,384,246,713.10, 9,576,370,069.65 and 6,384,246,713.10

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Solution

The fourth proportional to 6,384,246,713.10, 9,576,370,069.65 and 6,384,246,713.10 is: 9,576,370,069.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384,246,713.10 : 9,576,370,069.65 = 6,384,246,713.10 : x
  2. Step 2: Convert to fraction form
    6,384,246,713.10/9,576,370,069.65 = 6,384,246,713.10/x
  3. Step 3: Cross multiply
    6,384,246,713.10x = 9,576,370,069.65 × 6,384,246,713.10
  4. Step 4: Simplify right side
    6,384,246,713.10x = 61,137,909,140,592,230,400
  5. Step 5: Solve for x
    x = 61,137,909,140,592,230,400/6,384,246,713.10
  6. Step 6: Final answer
    x = 9,576,370,069.65

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Double scale
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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.