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Finding the Fourth Proportional to 434,174,414.60, 609,456,611.80 and 434,174,414.60

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Solution

The fourth proportional to 434,174,414.60, 609,456,611.80 and 434,174,414.60 is: 609,456,611.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,174,414.60 : 609,456,611.80 = 434,174,414.60 : x
  2. Step 2: Convert to fraction form
    434,174,414.60/609,456,611.80 = 434,174,414.60/x
  3. Step 3: Cross multiply
    434,174,414.60x = 609,456,611.80 × 434,174,414.60
  4. Step 4: Simplify right side
    434,174,414.60x = 264,610,467,652,364,448
  5. Step 5: Solve for x
    x = 264,610,467,652,364,448/434,174,414.60
  6. Step 6: Final answer
    x = 609,456,611.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.