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Finding the Fourth Proportional to 12,459,510,880,963, 18,689,266,321,444 and 12,459,510,880,963

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Solution

The fourth proportional to 12,459,510,880,963, 18,689,266,321,444 and 12,459,510,880,963 is: 18,689,266,321,444

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,459,510,880,963 : 18,689,266,321,444 = 12,459,510,880,963 : x
  2. Step 2: Convert to fraction form
    12,459,510,880,963/18,689,266,321,444 = 12,459,510,880,963/x
  3. Step 3: Cross multiply
    12,459,510,880,963x = 18,689,266,321,444 × 12,459,510,880,963
  4. Step 4: Simplify right side
    12,459,510,880,963x = 232,859,117,089,246,845,920,608,256
  5. Step 5: Solve for x
    x = 232,859,117,089,246,845,920,608,256/12,459,510,880,963
  6. Step 6: Final answer
    x = 18,689,266,321,444

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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.