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Finding the Fourth Proportional to 604,646,873.40, 834,410,638.92 and 340,328,713.32

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Solution

The fourth proportional to 604,646,873.40, 834,410,638.92 and 340,328,713.32 is: 469,652,472.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,646,873.40 : 834,410,638.92 = 340,328,713.32 : x
  2. Step 2: Convert to fraction form
    604,646,873.40/834,410,638.92 = 340,328,713.32/x
  3. Step 3: Cross multiply
    604,646,873.40x = 834,410,638.92 × 340,328,713.32
  4. Step 4: Simplify right side
    604,646,873.40x = 283,973,899,124,162,688
  5. Step 5: Solve for x
    x = 283,973,899,124,162,688/604,646,873.40
  6. Step 6: Final answer
    x = 469,652,472.57

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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.