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Finding the Fourth Proportional to 12,357,335,667.20, 18,536,003,500.80 and 12,357,335,667.20

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Solution

The fourth proportional to 12,357,335,667.20, 18,536,003,500.80 and 12,357,335,667.20 is: 18,536,003,500.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,357,335,667.20 : 18,536,003,500.80 = 12,357,335,667.20 : x
  2. Step 2: Convert to fraction form
    12,357,335,667.20/18,536,003,500.80 = 12,357,335,667.20/x
  3. Step 3: Cross multiply
    12,357,335,667.20x = 18,536,003,500.80 × 12,357,335,667.20
  4. Step 4: Simplify right side
    12,357,335,667.20x = 229,055,617,187,779,903,488
  5. Step 5: Solve for x
    x = 229,055,617,187,779,903,488/12,357,335,667.20
  6. Step 6: Final answer
    x = 18,536,003,500.80

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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.