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Finding the Fourth Proportional to 306,465,629.20, 459,698,443.80 and 102,000,374.80

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Solution

The fourth proportional to 306,465,629.20, 459,698,443.80 and 102,000,374.80 is: 153,000,562.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,465,629.20 : 459,698,443.80 = 102,000,374.80 : x
  2. Step 2: Convert to fraction form
    306,465,629.20/459,698,443.80 = 102,000,374.80/x
  3. Step 3: Cross multiply
    306,465,629.20x = 459,698,443.80 × 102,000,374.80
  4. Step 4: Simplify right side
    306,465,629.20x = 46,889,413,562,576,736
  5. Step 5: Solve for x
    x = 46,889,413,562,576,736/306,465,629.20
  6. Step 6: Final answer
    x = 153,000,562.20

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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.