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Finding the Fourth Proportional to 75,458,772,003.60, 112,970,479,771.80 and 75,458,772,003.60

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Solution

The fourth proportional to 75,458,772,003.60, 112,970,479,771.80 and 75,458,772,003.60 is: 112,970,479,771.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,458,772,003.60 : 112,970,479,771.80 = 75,458,772,003.60 : x
  2. Step 2: Convert to fraction form
    75,458,772,003.60/112,970,479,771.80 = 75,458,772,003.60/x
  3. Step 3: Cross multiply
    75,458,772,003.60x = 112,970,479,771.80 × 75,458,772,003.60
  4. Step 4: Simplify right side
    75,458,772,003.60x = 8,524,613,676,237,563,363,328
  5. Step 5: Solve for x
    x = 8,524,613,676,237,563,363,328/75,458,772,003.60
  6. Step 6: Final answer
    x = 112,970,479,771.80

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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.