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Finding the Fourth Proportional to 12,596,732,083.20, 18,895,098,124.80 and 12,596,732,083.20

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Solution

The fourth proportional to 12,596,732,083.20, 18,895,098,124.80 and 12,596,732,083.20 is: 18,895,098,124.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,596,732,083.20 : 18,895,098,124.80 = 12,596,732,083.20 : x
  2. Step 2: Convert to fraction form
    12,596,732,083.20/18,895,098,124.80 = 12,596,732,083.20/x
  3. Step 3: Cross multiply
    12,596,732,083.20x = 18,895,098,124.80 × 12,596,732,083.20
  4. Step 4: Simplify right side
    12,596,732,083.20x = 238,016,488,763,880,308,736
  5. Step 5: Solve for x
    x = 238,016,488,763,880,308,736/12,596,732,083.20
  6. Step 6: Final answer
    x = 18,895,098,124.80

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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.