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Finding the Fourth Proportional to 289,959,873.60, 434,939,810.40 and 160,965,364.80

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Solution

The fourth proportional to 289,959,873.60, 434,939,810.40 and 160,965,364.80 is: 241,448,047.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,959,873.60 : 434,939,810.40 = 160,965,364.80 : x
  2. Step 2: Convert to fraction form
    289,959,873.60/434,939,810.40 = 160,965,364.80/x
  3. Step 3: Cross multiply
    289,959,873.60x = 434,939,810.40 × 160,965,364.80
  4. Step 4: Simplify right side
    289,959,873.60x = 70,010,245,247,078,832
  5. Step 5: Solve for x
    x = 70,010,245,247,078,832/289,959,873.60
  6. Step 6: Final answer
    x = 241,448,047.20

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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.