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Finding the Fourth Proportional to 133,512,198,702.40, 200,268,298,053.60 and 133,512,198,702.40

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Solution

The fourth proportional to 133,512,198,702.40, 200,268,298,053.60 and 133,512,198,702.40 is: 200,268,298,053.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,512,198,702.40 : 200,268,298,053.60 = 133,512,198,702.40 : x
  2. Step 2: Convert to fraction form
    133,512,198,702.40/200,268,298,053.60 = 133,512,198,702.40/x
  3. Step 3: Cross multiply
    133,512,198,702.40x = 200,268,298,053.60 × 133,512,198,702.40
  4. Step 4: Simplify right side
    133,512,198,702.40x = 26,738,260,803,523,711,074,304
  5. Step 5: Solve for x
    x = 26,738,260,803,523,711,074,304/133,512,198,702.40
  6. Step 6: Final answer
    x = 200,268,298,053.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.