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Finding the Fourth Proportional to 273,231,423.60, 409,705,417.80 and 100,619,386.80

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Solution

The fourth proportional to 273,231,423.60, 409,705,417.80 and 100,619,386.80 is: 150,876,891.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,231,423.60 : 409,705,417.80 = 100,619,386.80 : x
  2. Step 2: Convert to fraction form
    273,231,423.60/409,705,417.80 = 100,619,386.80/x
  3. Step 3: Cross multiply
    273,231,423.60x = 409,705,417.80 × 100,619,386.80
  4. Step 4: Simplify right side
    273,231,423.60x = 41,224,307,907,673,808
  5. Step 5: Solve for x
    x = 41,224,307,907,673,808/273,231,423.60
  6. Step 6: Final answer
    x = 150,876,891.70

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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.