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Finding the Fourth Proportional to 129,413,376,039.40, 181,701,154,215.80 and 129,413,376,039.40

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Solution

The fourth proportional to 129,413,376,039.40, 181,701,154,215.80 and 129,413,376,039.40 is: 181,701,154,215.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,413,376,039.40 : 181,701,154,215.80 = 129,413,376,039.40 : x
  2. Step 2: Convert to fraction form
    129,413,376,039.40/181,701,154,215.80 = 129,413,376,039.40/x
  3. Step 3: Cross multiply
    129,413,376,039.40x = 181,701,154,215.80 × 129,413,376,039.40
  4. Step 4: Simplify right side
    129,413,376,039.40x = 23,514,559,797,322,332,504,064
  5. Step 5: Solve for x
    x = 23,514,559,797,322,332,504,064/129,413,376,039.40
  6. Step 6: Final answer
    x = 181,701,154,215.80

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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.