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Finding the Fourth Proportional to 46,656,164.20, 69,984,246.30 and 46,656,164.20

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Solution

The fourth proportional to 46,656,164.20, 69,984,246.30 and 46,656,164.20 is: 69,984,246.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,656,164.20 : 69,984,246.30 = 46,656,164.20 : x
  2. Step 2: Convert to fraction form
    46,656,164.20/69,984,246.30 = 46,656,164.20/x
  3. Step 3: Cross multiply
    46,656,164.20x = 69,984,246.30 × 46,656,164.20
  4. Step 4: Simplify right side
    46,656,164.20x = 3,265,196,486,786,042.50
  5. Step 5: Solve for x
    x = 3,265,196,486,786,042.50/46,656,164.20
  6. Step 6: Final answer
    x = 69,984,246.30

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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.