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Finding the Fourth Proportional to 412,956,122.36, 569,891,196.47 and 224,796,550.82

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Solution

The fourth proportional to 412,956,122.36, 569,891,196.47 and 224,796,550.82 is: 310,225,635.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,956,122.36 : 569,891,196.47 = 224,796,550.82 : x
  2. Step 2: Convert to fraction form
    412,956,122.36/569,891,196.47 = 224,796,550.82/x
  3. Step 3: Cross multiply
    412,956,122.36x = 569,891,196.47 × 224,796,550.82
  4. Step 4: Simplify right side
    412,956,122.36x = 128,109,575,308,014,976
  5. Step 5: Solve for x
    x = 128,109,575,308,014,976/412,956,122.36
  6. Step 6: Final answer
    x = 310,225,635.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.