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Finding the Fourth Proportional to 108,876,685,307.70, 163,315,027,961.55 and 108,876,685,307.70

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Solution

The fourth proportional to 108,876,685,307.70, 163,315,027,961.55 and 108,876,685,307.70 is: 163,315,027,961.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,876,685,307.70 : 163,315,027,961.55 = 108,876,685,307.70 : x
  2. Step 2: Convert to fraction form
    108,876,685,307.70/163,315,027,961.55 = 108,876,685,307.70/x
  3. Step 3: Cross multiply
    108,876,685,307.70x = 163,315,027,961.55 × 108,876,685,307.70
  4. Step 4: Simplify right side
    108,876,685,307.70x = 17,781,198,905,387,903,877,120
  5. Step 5: Solve for x
    x = 17,781,198,905,387,903,877,120/108,876,685,307.70
  6. Step 6: Final answer
    x = 163,315,027,961.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.