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Finding the Fourth Proportional to 265,775,281.60, 398,662,922.40 and 194,111,665.60

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Solution

The fourth proportional to 265,775,281.60, 398,662,922.40 and 194,111,665.60 is: 291,167,498.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,775,281.60 : 398,662,922.40 = 194,111,665.60 : x
  2. Step 2: Convert to fraction form
    265,775,281.60/398,662,922.40 = 194,111,665.60/x
  3. Step 3: Cross multiply
    265,775,281.60x = 398,662,922.40 × 194,111,665.60
  4. Step 4: Simplify right side
    265,775,281.60x = 77,385,123,880,027,536
  5. Step 5: Solve for x
    x = 77,385,123,880,027,536/265,775,281.60
  6. Step 6: Final answer
    x = 291,167,498.40

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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.