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Finding the Fourth Proportional to 243,247,142,495.80, 341,010,379,725.80 and 243,247,142,495.80

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Solution

The fourth proportional to 243,247,142,495.80, 341,010,379,725.80 and 243,247,142,495.80 is: 341,010,379,725.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,247,142,495.80 : 341,010,379,725.80 = 243,247,142,495.80 : x
  2. Step 2: Convert to fraction form
    243,247,142,495.80/341,010,379,725.80 = 243,247,142,495.80/x
  3. Step 3: Cross multiply
    243,247,142,495.80x = 341,010,379,725.80 × 243,247,142,495.80
  4. Step 4: Simplify right side
    243,247,142,495.80x = 82,949,800,429,708,537,495,552
  5. Step 5: Solve for x
    x = 82,949,800,429,708,537,495,552/243,247,142,495.80
  6. Step 6: Final answer
    x = 341,010,379,725.80

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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.