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Finding the Fourth Proportional to 14,609,732,529.30, 21,914,598,793.95 and 14,609,732,529.30

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Solution

The fourth proportional to 14,609,732,529.30, 21,914,598,793.95 and 14,609,732,529.30 is: 21,914,598,793.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,609,732,529.30 : 21,914,598,793.95 = 14,609,732,529.30 : x
  2. Step 2: Convert to fraction form
    14,609,732,529.30/21,914,598,793.95 = 14,609,732,529.30/x
  3. Step 3: Cross multiply
    14,609,732,529.30x = 21,914,598,793.95 × 14,609,732,529.30
  4. Step 4: Simplify right side
    14,609,732,529.30x = 320,166,426,866,529,861,632
  5. Step 5: Solve for x
    x = 320,166,426,866,529,861,632/14,609,732,529.30
  6. Step 6: Final answer
    x = 21,914,598,793.95

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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.