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Finding the Fourth Proportional to 1,175,999,502.83, 1,764,265,008.41 and 389,051,310.11

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Solution

The fourth proportional to 1,175,999,502.83, 1,764,265,008.41 and 389,051,310.11 is: 583,664,883.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175,999,502.83 : 1,764,265,008.41 = 389,051,310.11 : x
  2. Step 2: Convert to fraction form
    1,175,999,502.83/1,764,265,008.41 = 389,051,310.11/x
  3. Step 3: Cross multiply
    1,175,999,502.83x = 1,764,265,008.41 × 389,051,310.11
  4. Step 4: Simplify right side
    1,175,999,502.83x = 686,389,612,901,195,392
  5. Step 5: Solve for x
    x = 686,389,612,901,195,392/1,175,999,502.83
  6. Step 6: Final answer
    x = 583,664,883.57

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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.