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Finding the Fourth Proportional to 2,453,663,100,642.30, 3,680,494,650,963.30 and 2,453,663,100,642.30

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Solution

The fourth proportional to 2,453,663,100,642.30, 3,680,494,650,963.30 and 2,453,663,100,642.30 is: 3,680,494,650,963.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453,663,100,642.30 : 3,680,494,650,963.30 = 2,453,663,100,642.30 : x
  2. Step 2: Convert to fraction form
    2,453,663,100,642.30/3,680,494,650,963.30 = 2,453,663,100,642.30/x
  3. Step 3: Cross multiply
    2,453,663,100,642.30x = 3,680,494,650,963.30 × 2,453,663,100,642.30
  4. Step 4: Simplify right side
    2,453,663,100,642.30x = 9,030,693,917,180,009,117,646,848
  5. Step 5: Solve for x
    x = 9,030,693,917,180,009,117,646,848/2,453,663,100,642.30
  6. Step 6: Final answer
    x = 3,680,494,650,963.30

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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.