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Finding the Fourth Proportional to 12,459,510,880,809, 18,689,266,321,213 and 12,459,510,880,809

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Solution

The fourth proportional to 12,459,510,880,809, 18,689,266,321,213 and 12,459,510,880,809 is: 18,689,266,321,213

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,459,510,880,809 : 18,689,266,321,213 = 12,459,510,880,809 : x
  2. Step 2: Convert to fraction form
    12,459,510,880,809/18,689,266,321,213 = 12,459,510,880,809/x
  3. Step 3: Cross multiply
    12,459,510,880,809x = 18,689,266,321,213 × 12,459,510,880,809
  4. Step 4: Simplify right side
    12,459,510,880,809x = 232,859,117,083,490,558,951,817,216
  5. Step 5: Solve for x
    x = 232,859,117,083,490,558,951,817,216/12,459,510,880,809
  6. Step 6: Final answer
    x = 18,689,266,321,213

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Double scale
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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.