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Finding the Fourth Proportional to 243,247,142,489.80, 341,010,379,717.40 and 243,247,142,489.80

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Solution

The fourth proportional to 243,247,142,489.80, 341,010,379,717.40 and 243,247,142,489.80 is: 341,010,379,717.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,247,142,489.80 : 341,010,379,717.40 = 243,247,142,489.80 : x
  2. Step 2: Convert to fraction form
    243,247,142,489.80/341,010,379,717.40 = 243,247,142,489.80/x
  3. Step 3: Cross multiply
    243,247,142,489.80x = 341,010,379,717.40 × 243,247,142,489.80
  4. Step 4: Simplify right side
    243,247,142,489.80x = 82,949,800,425,619,208,536,064
  5. Step 5: Solve for x
    x = 82,949,800,425,619,208,536,064/243,247,142,489.80
  6. Step 6: Final answer
    x = 341,010,379,717.40

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1.5x scale

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.