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Finding the Fourth Proportional to 16,129,875,794.40, 24,194,813,691.60 and 16,129,875,794.40

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Solution

The fourth proportional to 16,129,875,794.40, 24,194,813,691.60 and 16,129,875,794.40 is: 24,194,813,691.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,129,875,794.40 : 24,194,813,691.60 = 16,129,875,794.40 : x
  2. Step 2: Convert to fraction form
    16,129,875,794.40/24,194,813,691.60 = 16,129,875,794.40/x
  3. Step 3: Cross multiply
    16,129,875,794.40x = 24,194,813,691.60 × 16,129,875,794.40
  4. Step 4: Simplify right side
    16,129,875,794.40x = 390,259,339,714,156,494,848
  5. Step 5: Solve for x
    x = 390,259,339,714,156,494,848/16,129,875,794.40
  6. Step 6: Final answer
    x = 24,194,813,691.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.