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Finding the Fourth Proportional to 21,683,376,006.70, 32,463,842,006.85 and 21,683,376,006.70

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Solution

The fourth proportional to 21,683,376,006.70, 32,463,842,006.85 and 21,683,376,006.70 is: 32,463,842,006.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,683,376,006.70 : 32,463,842,006.85 = 21,683,376,006.70 : x
  2. Step 2: Convert to fraction form
    21,683,376,006.70/32,463,842,006.85 = 21,683,376,006.70/x
  3. Step 3: Cross multiply
    21,683,376,006.70x = 32,463,842,006.85 × 21,683,376,006.70
  4. Step 4: Simplify right side
    21,683,376,006.70x = 703,925,692,856,630,902,784
  5. Step 5: Solve for x
    x = 703,925,692,856,630,902,784/21,683,376,006.70
  6. Step 6: Final answer
    x = 32,463,842,006.85

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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.