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Finding the Fourth Proportional to 1,010,786,051.54, 1,394,956,932 and 558,654,292.41

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Solution

The fourth proportional to 1,010,786,051.54, 1,394,956,932 and 558,654,292.41 is: 770,982,817.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010,786,051.54 : 1,394,956,932 = 558,654,292.41 : x
  2. Step 2: Convert to fraction form
    1,010,786,051.54/1,394,956,932 = 558,654,292.41/x
  3. Step 3: Cross multiply
    1,010,786,051.54x = 1,394,956,932 × 558,654,292.41
  4. Step 4: Simplify right side
    1,010,786,051.54x = 779,298,677,788,884,480
  5. Step 5: Solve for x
    x = 779,298,677,788,884,480/1,010,786,051.54
  6. Step 6: Final answer
    x = 770,982,817.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.