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Finding the Fourth Proportional to 12,376,465,194.65, 18,564,697,791.98 and 12,376,465,194.65

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Solution

The fourth proportional to 12,376,465,194.65, 18,564,697,791.98 and 12,376,465,194.65 is: 18,564,697,791.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,376,465,194.65 : 18,564,697,791.98 = 12,376,465,194.65 : x
  2. Step 2: Convert to fraction form
    12,376,465,194.65/18,564,697,791.98 = 12,376,465,194.65/x
  3. Step 3: Cross multiply
    12,376,465,194.65x = 18,564,697,791.98 × 12,376,465,194.65
  4. Step 4: Simplify right side
    12,376,465,194.65x = 229,765,336,071,636,156,416
  5. Step 5: Solve for x
    x = 229,765,336,071,636,156,416/12,376,465,194.65
  6. Step 6: Final answer
    x = 18,564,697,791.98

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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.