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Finding the Fourth Proportional to 16,016,326,811.70, 24,024,490,217.55 and 16,016,326,811.70

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Solution

The fourth proportional to 16,016,326,811.70, 24,024,490,217.55 and 16,016,326,811.70 is: 24,024,490,217.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,016,326,811.70 : 24,024,490,217.55 = 16,016,326,811.70 : x
  2. Step 2: Convert to fraction form
    16,016,326,811.70/24,024,490,217.55 = 16,016,326,811.70/x
  3. Step 3: Cross multiply
    16,016,326,811.70x = 24,024,490,217.55 × 16,016,326,811.70
  4. Step 4: Simplify right side
    16,016,326,811.70x = 384,784,086,808,770,445,312
  5. Step 5: Solve for x
    x = 384,784,086,808,770,445,312/16,016,326,811.70
  6. Step 6: Final answer
    x = 24,024,490,217.55

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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.