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Finding the Fourth Proportional to 13,457,557,008.30, 20,186,335,512.45 and 13,457,557,008.30

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Solution

The fourth proportional to 13,457,557,008.30, 20,186,335,512.45 and 13,457,557,008.30 is: 20,186,335,512.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,457,557,008.30 : 20,186,335,512.45 = 13,457,557,008.30 : x
  2. Step 2: Convert to fraction form
    13,457,557,008.30/20,186,335,512.45 = 13,457,557,008.30/x
  3. Step 3: Cross multiply
    13,457,557,008.30x = 20,186,335,512.45 × 13,457,557,008.30
  4. Step 4: Simplify right side
    13,457,557,008.30x = 271,658,760,947,466,665,984
  5. Step 5: Solve for x
    x = 271,658,760,947,466,665,984/13,457,557,008.30
  6. Step 6: Final answer
    x = 20,186,335,512.45

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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.