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Finding the Fourth Proportional to 2,005,012,992,157, 3,007,519,488,235.80 and 2,005,012,992,157

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Solution

The fourth proportional to 2,005,012,992,157, 3,007,519,488,235.80 and 2,005,012,992,157 is: 3,007,519,488,235.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005,012,992,157 : 3,007,519,488,235.80 = 2,005,012,992,157 : x
  2. Step 2: Convert to fraction form
    2,005,012,992,157/3,007,519,488,235.80 = 2,005,012,992,157/x
  3. Step 3: Cross multiply
    2,005,012,992,157x = 3,007,519,488,235.80 × 2,005,012,992,157
  4. Step 4: Simplify right side
    2,005,012,992,157x = 6,030,115,648,078,150,602,063,872
  5. Step 5: Solve for x
    x = 6,030,115,648,078,150,602,063,872/2,005,012,992,157
  6. Step 6: Final answer
    x = 3,007,519,488,235.80

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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.