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Finding the Fourth Proportional to 906,392,713.50, 1,359,589,071.06 and 292,976,940.06

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Solution

The fourth proportional to 906,392,713.50, 1,359,589,071.06 and 292,976,940.06 is: 439,465,410.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,392,713.50 : 1,359,589,071.06 = 292,976,940.06 : x
  2. Step 2: Convert to fraction form
    906,392,713.50/1,359,589,071.06 = 292,976,940.06/x
  3. Step 3: Cross multiply
    906,392,713.50x = 1,359,589,071.06 × 292,976,940.06
  4. Step 4: Simplify right side
    906,392,713.50x = 398,328,245,778,176,704
  5. Step 5: Solve for x
    x = 398,328,245,778,176,704/906,392,713.50
  6. Step 6: Final answer
    x = 439,465,410.35

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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.