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Finding the Fourth Proportional to 11,762,751,608.10, 16,509,177,103.50 and 11,762,751,608.10

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Solution

The fourth proportional to 11,762,751,608.10, 16,509,177,103.50 and 11,762,751,608.10 is: 16,509,177,103.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762,751,608.10 : 16,509,177,103.50 = 11,762,751,608.10 : x
  2. Step 2: Convert to fraction form
    11,762,751,608.10/16,509,177,103.50 = 11,762,751,608.10/x
  3. Step 3: Cross multiply
    11,762,751,608.10x = 16,509,177,103.50 × 11,762,751,608.10
  4. Step 4: Simplify right side
    11,762,751,608.10x = 194,193,349,522,602,328,064
  5. Step 5: Solve for x
    x = 194,193,349,522,602,328,064/11,762,751,608.10
  6. Step 6: Final answer
    x = 16,509,177,103.50

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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.