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Finding the Fourth Proportional to 3,129,133,777,866, 4,693,700,666,799.40 and 3,129,133,777,866

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Solution

The fourth proportional to 3,129,133,777,866, 4,693,700,666,799.40 and 3,129,133,777,866 is: 4,693,700,666,799.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129,133,777,866 : 4,693,700,666,799.40 = 3,129,133,777,866 : x
  2. Step 2: Convert to fraction form
    3,129,133,777,866/4,693,700,666,799.40 = 3,129,133,777,866/x
  3. Step 3: Cross multiply
    3,129,133,777,866x = 4,693,700,666,799.40 × 3,129,133,777,866
  4. Step 4: Simplify right side
    3,129,133,777,866x = 14,687,217,299,674,172,074,491,904
  5. Step 5: Solve for x
    x = 14,687,217,299,674,172,074,491,904/3,129,133,777,866
  6. Step 6: Final answer
    x = 4,693,700,666,799.40

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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.