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Finding the Fourth Proportional to 472,826,009.80, 709,239,014.70 and 291,427,481.80

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Solution

The fourth proportional to 472,826,009.80, 709,239,014.70 and 291,427,481.80 is: 437,141,222.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,826,009.80 : 709,239,014.70 = 291,427,481.80 : x
  2. Step 2: Convert to fraction form
    472,826,009.80/709,239,014.70 = 291,427,481.80/x
  3. Step 3: Cross multiply
    472,826,009.80x = 709,239,014.70 × 291,427,481.80
  4. Step 4: Simplify right side
    472,826,009.80x = 206,691,740,048,334,208
  5. Step 5: Solve for x
    x = 206,691,740,048,334,208/472,826,009.80
  6. Step 6: Final answer
    x = 437,141,222.70

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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.