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Finding the Fourth Proportional to 514,704,429.60, 772,168,618.80 and 169,599,328.80

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Solution

The fourth proportional to 514,704,429.60, 772,168,618.80 and 169,599,328.80 is: 254,435,889.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,704,429.60 : 772,168,618.80 = 169,599,328.80 : x
  2. Step 2: Convert to fraction form
    514,704,429.60/772,168,618.80 = 169,599,328.80/x
  3. Step 3: Cross multiply
    514,704,429.60x = 772,168,618.80 × 169,599,328.80
  4. Step 4: Simplify right side
    514,704,429.60x = 130,959,279,468,903,056
  5. Step 5: Solve for x
    x = 130,959,279,468,903,056/514,704,429.60
  6. Step 6: Final answer
    x = 254,435,889.68

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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.