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Finding the Fourth Proportional to 12,126,129,000.83, 18,189,193,501.24 and 12,126,129,000.83

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Solution

The fourth proportional to 12,126,129,000.83, 18,189,193,501.24 and 12,126,129,000.83 is: 18,189,193,501.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,126,129,000.83 : 18,189,193,501.24 = 12,126,129,000.83 : x
  2. Step 2: Convert to fraction form
    12,126,129,000.83/18,189,193,501.24 = 12,126,129,000.83/x
  3. Step 3: Cross multiply
    12,126,129,000.83x = 18,189,193,501.24 × 12,126,129,000.83
  4. Step 4: Simplify right side
    12,126,129,000.83x = 220,564,506,816,967,606,272
  5. Step 5: Solve for x
    x = 220,564,506,816,967,606,272/12,126,129,000.83
  6. Step 6: Final answer
    x = 18,189,193,501.24

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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.