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Finding the Fourth Proportional to 12,947,398,889.60, 18,144,725,046.40 and 12,947,398,889.60

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Solution

The fourth proportional to 12,947,398,889.60, 18,144,725,046.40 and 12,947,398,889.60 is: 18,144,725,046.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,947,398,889.60 : 18,144,725,046.40 = 12,947,398,889.60 : x
  2. Step 2: Convert to fraction form
    12,947,398,889.60/18,144,725,046.40 = 12,947,398,889.60/x
  3. Step 3: Cross multiply
    12,947,398,889.60x = 18,144,725,046.40 × 12,947,398,889.60
  4. Step 4: Simplify right side
    12,947,398,889.60x = 234,926,992,917,856,681,984
  5. Step 5: Solve for x
    x = 234,926,992,917,856,681,984/12,947,398,889.60
  6. Step 6: Final answer
    x = 18,144,725,046.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.