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Finding the Fourth Proportional to 12,947,398,764.60, 18,144,724,871.40 and 12,947,398,764.60

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Solution

The fourth proportional to 12,947,398,764.60, 18,144,724,871.40 and 12,947,398,764.60 is: 18,144,724,871.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,947,398,764.60 : 18,144,724,871.40 = 12,947,398,764.60 : x
  2. Step 2: Convert to fraction form
    12,947,398,764.60/18,144,724,871.40 = 12,947,398,764.60/x
  3. Step 3: Cross multiply
    12,947,398,764.60x = 18,144,724,871.40 × 12,947,398,764.60
  4. Step 4: Simplify right side
    12,947,398,764.60x = 234,926,988,383,971,278,848
  5. Step 5: Solve for x
    x = 234,926,988,383,971,278,848/12,947,398,764.60
  6. Step 6: Final answer
    x = 18,144,724,871.40

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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.