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Finding the Fourth Proportional to 173,840,257,505.70, 260,760,386,258.55 and 173,840,257,505.70

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Solution

The fourth proportional to 173,840,257,505.70, 260,760,386,258.55 and 173,840,257,505.70 is: 260,760,386,258.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,840,257,505.70 : 260,760,386,258.55 = 173,840,257,505.70 : x
  2. Step 2: Convert to fraction form
    173,840,257,505.70/260,760,386,258.55 = 173,840,257,505.70/x
  3. Step 3: Cross multiply
    173,840,257,505.70x = 260,760,386,258.55 × 173,840,257,505.70
  4. Step 4: Simplify right side
    173,840,257,505.70x = 45,330,652,694,472,126,627,840
  5. Step 5: Solve for x
    x = 45,330,652,694,472,126,627,840/173,840,257,505.70
  6. Step 6: Final answer
    x = 260,760,386,258.55

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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.