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Finding the Fourth Proportional to 129,848,782,053.60, 194,773,173,080.40 and 129,848,782,053.60

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Solution

The fourth proportional to 129,848,782,053.60, 194,773,173,080.40 and 129,848,782,053.60 is: 194,773,173,080.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,848,782,053.60 : 194,773,173,080.40 = 129,848,782,053.60 : x
  2. Step 2: Convert to fraction form
    129,848,782,053.60/194,773,173,080.40 = 129,848,782,053.60/x
  3. Step 3: Cross multiply
    129,848,782,053.60x = 194,773,173,080.40 × 129,848,782,053.60
  4. Step 4: Simplify right side
    129,848,782,053.60x = 25,291,059,301,204,969,390,080
  5. Step 5: Solve for x
    x = 25,291,059,301,204,969,390,080/129,848,782,053.60
  6. Step 6: Final answer
    x = 194,773,173,080.40

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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.