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Finding the Fourth Proportional to 459,762,012.60, 689,978,942.10 and 323,713,116.60

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Solution

The fourth proportional to 459,762,012.60, 689,978,942.10 and 323,713,116.60 is: 485,806,194.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,762,012.60 : 689,978,942.10 = 323,713,116.60 : x
  2. Step 2: Convert to fraction form
    459,762,012.60/689,978,942.10 = 323,713,116.60/x
  3. Step 3: Cross multiply
    459,762,012.60x = 689,978,942.10 × 323,713,116.60
  4. Step 4: Simplify right side
    459,762,012.60x = 223,355,233,735,561,984
  5. Step 5: Solve for x
    x = 223,355,233,735,561,984/459,762,012.60
  6. Step 6: Final answer
    x = 485,806,194.54

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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.