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Finding the Fourth Proportional to 129,361,565,640.80, 194,042,348,461.20 and 129,361,565,640.80

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Solution

The fourth proportional to 129,361,565,640.80, 194,042,348,461.20 and 129,361,565,640.80 is: 194,042,348,461.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,361,565,640.80 : 194,042,348,461.20 = 129,361,565,640.80 : x
  2. Step 2: Convert to fraction form
    129,361,565,640.80/194,042,348,461.20 = 129,361,565,640.80/x
  3. Step 3: Cross multiply
    129,361,565,640.80x = 194,042,348,461.20 × 129,361,565,640.80
  4. Step 4: Simplify right side
    129,361,565,640.80x = 25,101,621,997,558,514,581,504
  5. Step 5: Solve for x
    x = 25,101,621,997,558,514,581,504/129,361,565,640.80
  6. Step 6: Final answer
    x = 194,042,348,461.20

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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.