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Finding the Fourth Proportional to 3,129,133,777,897, 4,693,700,666,845.80 and 3,129,133,777,897

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Solution

The fourth proportional to 3,129,133,777,897, 4,693,700,666,845.80 and 3,129,133,777,897 is: 4,693,700,666,845.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129,133,777,897 : 4,693,700,666,845.80 = 3,129,133,777,897 : x
  2. Step 2: Convert to fraction form
    3,129,133,777,897/4,693,700,666,845.80 = 3,129,133,777,897/x
  3. Step 3: Cross multiply
    3,129,133,777,897x = 4,693,700,666,845.80 × 3,129,133,777,897
  4. Step 4: Simplify right side
    3,129,133,777,897x = 14,687,217,299,964,866,198,503,424
  5. Step 5: Solve for x
    x = 14,687,217,299,964,866,198,503,424/3,129,133,777,897
  6. Step 6: Final answer
    x = 4,693,700,666,845.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.