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Finding the Fourth Proportional to 740,577,286.20, 1,110,865,929.30 and 740,577,286.20

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Solution

The fourth proportional to 740,577,286.20, 1,110,865,929.30 and 740,577,286.20 is: 1,110,865,929.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,577,286.20 : 1,110,865,929.30 = 740,577,286.20 : x
  2. Step 2: Convert to fraction form
    740,577,286.20/1,110,865,929.30 = 740,577,286.20/x
  3. Step 3: Cross multiply
    740,577,286.20x = 1,110,865,929.30 × 740,577,286.20
  4. Step 4: Simplify right side
    740,577,286.20x = 822,682,075,253,035,136
  5. Step 5: Solve for x
    x = 822,682,075,253,035,136/740,577,286.20
  6. Step 6: Final answer
    x = 1,110,865,929.30

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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.