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Finding the Fourth Proportional to 12,752,414,495,959, 19,128,621,743,940 and 12,752,414,495,959

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Solution

The fourth proportional to 12,752,414,495,959, 19,128,621,743,940 and 12,752,414,495,959 is: 19,128,621,743,940

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,752,414,495,959 : 19,128,621,743,940 = 12,752,414,495,959 : x
  2. Step 2: Convert to fraction form
    12,752,414,495,959/19,128,621,743,940 = 12,752,414,495,959/x
  3. Step 3: Cross multiply
    12,752,414,495,959x = 19,128,621,743,940 × 12,752,414,495,959
  4. Step 4: Simplify right side
    12,752,414,495,959x = 243,936,113,215,136,996,272,373,760
  5. Step 5: Solve for x
    x = 243,936,113,215,136,996,272,373,760/12,752,414,495,959
  6. Step 6: Final answer
    x = 19,128,621,743,940

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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.