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Finding the Fourth Proportional to 289,656,439.40, 434,484,659.10 and 287,640,900.20

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Solution

The fourth proportional to 289,656,439.40, 434,484,659.10 and 287,640,900.20 is: 431,461,350.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,656,439.40 : 434,484,659.10 = 287,640,900.20 : x
  2. Step 2: Convert to fraction form
    289,656,439.40/434,484,659.10 = 287,640,900.20/x
  3. Step 3: Cross multiply
    289,656,439.40x = 434,484,659.10 × 287,640,900.20
  4. Step 4: Simplify right side
    289,656,439.40x = 124,975,558,466,614,128
  5. Step 5: Solve for x
    x = 124,975,558,466,614,128/289,656,439.40
  6. Step 6: Final answer
    x = 431,461,350.30

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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.