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Finding the Fourth Proportional to 12,459,510,880,993, 18,689,266,321,489 and 12,459,510,880,993

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Solution

The fourth proportional to 12,459,510,880,993, 18,689,266,321,489 and 12,459,510,880,993 is: 18,689,266,321,489

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,459,510,880,993 : 18,689,266,321,489 = 12,459,510,880,993 : x
  2. Step 2: Convert to fraction form
    12,459,510,880,993/18,689,266,321,489 = 12,459,510,880,993/x
  3. Step 3: Cross multiply
    12,459,510,880,993x = 18,689,266,321,489 × 12,459,510,880,993
  4. Step 4: Simplify right side
    12,459,510,880,993x = 232,859,117,090,368,210,341,986,304
  5. Step 5: Solve for x
    x = 232,859,117,090,368,210,341,986,304/12,459,510,880,993
  6. Step 6: Final answer
    x = 18,689,266,321,489

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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.