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Finding the Fourth Proportional to 580,320,137.40, 870,480,206.10 and 192,202,870.20

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Solution

The fourth proportional to 580,320,137.40, 870,480,206.10 and 192,202,870.20 is: 288,304,305.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,320,137.40 : 870,480,206.10 = 192,202,870.20 : x
  2. Step 2: Convert to fraction form
    580,320,137.40/870,480,206.10 = 192,202,870.20/x
  3. Step 3: Cross multiply
    580,320,137.40x = 870,480,206.10 × 192,202,870.20
  4. Step 4: Simplify right side
    580,320,137.40x = 167,308,794,064,707,552
  5. Step 5: Solve for x
    x = 167,308,794,064,707,552/580,320,137.40
  6. Step 6: Final answer
    x = 288,304,305.30

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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.