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Finding the Fourth Proportional to 121,375,157,424.40, 182,062,736,136.60 and 121,375,157,424.40

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Solution

The fourth proportional to 121,375,157,424.40, 182,062,736,136.60 and 121,375,157,424.40 is: 182,062,736,136.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,375,157,424.40 : 182,062,736,136.60 = 121,375,157,424.40 : x
  2. Step 2: Convert to fraction form
    121,375,157,424.40/182,062,736,136.60 = 121,375,157,424.40/x
  3. Step 3: Cross multiply
    121,375,157,424.40x = 182,062,736,136.60 × 121,375,157,424.40
  4. Step 4: Simplify right side
    121,375,157,424.40x = 22,097,893,259,696,823,861,248
  5. Step 5: Solve for x
    x = 22,097,893,259,696,823,861,248/121,375,157,424.40
  6. Step 6: Final answer
    x = 182,062,736,136.60

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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.