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Finding the Fourth Proportional to 78,548,292,003.60, 117,822,438,005.38 and 78,548,292,003.60

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Solution

The fourth proportional to 78,548,292,003.60, 117,822,438,005.38 and 78,548,292,003.60 is: 117,822,438,005.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,548,292,003.60 : 117,822,438,005.38 = 78,548,292,003.60 : x
  2. Step 2: Convert to fraction form
    78,548,292,003.60/117,822,438,005.38 = 78,548,292,003.60/x
  3. Step 3: Cross multiply
    78,548,292,003.60x = 117,822,438,005.38 × 78,548,292,003.60
  4. Step 4: Simplify right side
    78,548,292,003.60x = 9,254,751,265,022,647,730,176
  5. Step 5: Solve for x
    x = 9,254,751,265,022,647,730,176/78,548,292,003.60
  6. Step 6: Final answer
    x = 117,822,438,005.38

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