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Finding the Fourth Proportional to 12,366,515,780.20, 18,549,773,670.30 and 12,366,515,780.20

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Solution

The fourth proportional to 12,366,515,780.20, 18,549,773,670.30 and 12,366,515,780.20 is: 18,549,773,670.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,366,515,780.20 : 18,549,773,670.30 = 12,366,515,780.20 : x
  2. Step 2: Convert to fraction form
    12,366,515,780.20/18,549,773,670.30 = 12,366,515,780.20/x
  3. Step 3: Cross multiply
    12,366,515,780.20x = 18,549,773,670.30 × 12,366,515,780.20
  4. Step 4: Simplify right side
    12,366,515,780.20x = 229,396,068,812,903,415,808
  5. Step 5: Solve for x
    x = 229,396,068,812,903,415,808/12,366,515,780.20
  6. Step 6: Final answer
    x = 18,549,773,670.30

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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.