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Finding the Fourth Proportional to 289,165,477.60, 434,084,139.60 and 174,279,743.20

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Solution

The fourth proportional to 289,165,477.60, 434,084,139.60 and 174,279,743.20 is: 261,622,075.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,165,477.60 : 434,084,139.60 = 174,279,743.20 : x
  2. Step 2: Convert to fraction form
    289,165,477.60/434,084,139.60 = 174,279,743.20/x
  3. Step 3: Cross multiply
    289,165,477.60x = 434,084,139.60 × 174,279,743.20
  4. Step 4: Simplify right side
    289,165,477.60x = 75,652,072,376,680,944
  5. Step 5: Solve for x
    x = 75,652,072,376,680,944/289,165,477.60
  6. Step 6: Final answer
    x = 261,622,075.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.