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Finding the Fourth Proportional to 129,848,790,663.20, 194,773,185,994.80 and 129,848,790,663.20

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Solution

The fourth proportional to 129,848,790,663.20, 194,773,185,994.80 and 129,848,790,663.20 is: 194,773,185,994.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,848,790,663.20 : 194,773,185,994.80 = 129,848,790,663.20 : x
  2. Step 2: Convert to fraction form
    129,848,790,663.20/194,773,185,994.80 = 129,848,790,663.20/x
  3. Step 3: Cross multiply
    129,848,790,663.20x = 194,773,185,994.80 × 129,848,790,663.20
  4. Step 4: Simplify right side
    129,848,790,663.20x = 25,291,062,655,043,302,850,560
  5. Step 5: Solve for x
    x = 25,291,062,655,043,302,850,560/129,848,790,663.20
  6. Step 6: Final answer
    x = 194,773,185,994.80

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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.