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Finding the Fourth Proportional to 11,763,219,771.10, 16,509,832,531.70 and 11,763,219,771.10

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Solution

The fourth proportional to 11,763,219,771.10, 16,509,832,531.70 and 11,763,219,771.10 is: 16,509,832,531.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,763,219,771.10 : 16,509,832,531.70 = 11,763,219,771.10 : x
  2. Step 2: Convert to fraction form
    11,763,219,771.10/16,509,832,531.70 = 11,763,219,771.10/x
  3. Step 3: Cross multiply
    11,763,219,771.10x = 16,509,832,531.70 × 11,763,219,771.10
  4. Step 4: Simplify right side
    11,763,219,771.10x = 194,208,788,454,443,417,600
  5. Step 5: Solve for x
    x = 194,208,788,454,443,417,600/11,763,219,771.10
  6. Step 6: Final answer
    x = 16,509,832,531.70

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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.