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Finding the Fourth Proportional to 412,896,735.47, 569,802,152.72 and 224,726,234.03

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Solution

The fourth proportional to 412,896,735.47, 569,802,152.72 and 224,726,234.03 is: 310,124,738.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,896,735.47 : 569,802,152.72 = 224,726,234.03 : x
  2. Step 2: Convert to fraction form
    412,896,735.47/569,802,152.72 = 224,726,234.03/x
  3. Step 3: Cross multiply
    412,896,735.47x = 569,802,152.72 × 224,726,234.03
  4. Step 4: Simplify right side
    412,896,735.47x = 128,049,491,918,979,888
  5. Step 5: Solve for x
    x = 128,049,491,918,979,888/412,896,735.47
  6. Step 6: Final answer
    x = 310,124,738.02

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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.