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Finding the Fourth Proportional to 30,764,531.70, 46,146,797.55 and 30,764,531.70

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Solution

The fourth proportional to 30,764,531.70, 46,146,797.55 and 30,764,531.70 is: 46,146,797.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,764,531.70 : 46,146,797.55 = 30,764,531.70 : x
  2. Step 2: Convert to fraction form
    30,764,531.70/46,146,797.55 = 30,764,531.70/x
  3. Step 3: Cross multiply
    30,764,531.70x = 46,146,797.55 × 30,764,531.70
  4. Step 4: Simplify right side
    30,764,531.70x = 1,419,684,616,080,457.25
  5. Step 5: Solve for x
    x = 1,419,684,616,080,457.25/30,764,531.70
  6. Step 6: Final answer
    x = 46,146,797.55

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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.