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Finding the Fourth Proportional to 11,763,219,802.60, 16,509,832,575.80 and 11,763,219,802.60

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Solution

The fourth proportional to 11,763,219,802.60, 16,509,832,575.80 and 11,763,219,802.60 is: 16,509,832,575.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,763,219,802.60 : 16,509,832,575.80 = 11,763,219,802.60 : x
  2. Step 2: Convert to fraction form
    11,763,219,802.60/16,509,832,575.80 = 11,763,219,802.60/x
  3. Step 3: Cross multiply
    11,763,219,802.60x = 16,509,832,575.80 × 11,763,219,802.60
  4. Step 4: Simplify right side
    11,763,219,802.60x = 194,208,789,493,261,107,200
  5. Step 5: Solve for x
    x = 194,208,789,493,261,107,200/11,763,219,802.60
  6. Step 6: Final answer
    x = 16,509,832,575.80

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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.