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Finding the Fourth Proportional to 412,397,754.94, 569,104,900.60 and 224,226,046.16

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Solution

The fourth proportional to 412,397,754.94, 569,104,900.60 and 224,226,046.16 is: 309,429,768.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,397,754.94 : 569,104,900.60 = 224,226,046.16 : x
  2. Step 2: Convert to fraction form
    412,397,754.94/569,104,900.60 = 224,226,046.16/x
  3. Step 3: Cross multiply
    412,397,754.94x = 569,104,900.60 × 224,226,046.16
  4. Step 4: Simplify right side
    412,397,754.94x = 127,608,141,711,817,808
  5. Step 5: Solve for x
    x = 127,608,141,711,817,808/412,397,754.94
  6. Step 6: Final answer
    x = 309,429,768.19

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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.