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Finding the Fourth Proportional to 459,761,719.60, 689,978,502.60 and 323,712,823.60

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Solution

The fourth proportional to 459,761,719.60, 689,978,502.60 and 323,712,823.60 is: 485,805,754.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,761,719.60 : 689,978,502.60 = 323,712,823.60 : x
  2. Step 2: Convert to fraction form
    459,761,719.60/689,978,502.60 = 323,712,823.60/x
  3. Step 3: Cross multiply
    459,761,719.60x = 689,978,502.60 × 323,712,823.60
  4. Step 4: Simplify right side
    459,761,719.60x = 223,354,889,299,945,952
  5. Step 5: Solve for x
    x = 223,354,889,299,945,952/459,761,719.60
  6. Step 6: Final answer
    x = 485,805,754.98

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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.