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Finding the Fourth Proportional to 289,620,843.20, 434,431,264.80 and 289,620,843.20

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Solution

The fourth proportional to 289,620,843.20, 434,431,264.80 and 289,620,843.20 is: 434,431,264.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,620,843.20 : 434,431,264.80 = 289,620,843.20 : x
  2. Step 2: Convert to fraction form
    289,620,843.20/434,431,264.80 = 289,620,843.20/x
  3. Step 3: Cross multiply
    289,620,843.20x = 434,431,264.80 × 289,620,843.20
  4. Step 4: Simplify right side
    289,620,843.20x = 125,820,349,223,818,480
  5. Step 5: Solve for x
    x = 125,820,349,223,818,480/289,620,843.20
  6. Step 6: Final answer
    x = 434,431,264.80

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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.