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Finding the Fourth Proportional to 859,628,627.10, 1,286,466,871.05 and 514,829,706.30

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Solution

The fourth proportional to 859,628,627.10, 1,286,466,871.05 and 514,829,706.30 is: 770,462,197.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    859,628,627.10 : 1,286,466,871.05 = 514,829,706.30 : x
  2. Step 2: Convert to fraction form
    859,628,627.10/1,286,466,871.05 = 514,829,706.30/x
  3. Step 3: Cross multiply
    859,628,627.10x = 1,286,466,871.05 × 514,829,706.30
  4. Step 4: Simplify right side
    859,628,627.10x = 662,311,361,387,351,424
  5. Step 5: Solve for x
    x = 662,311,361,387,351,424/859,628,627.10
  6. Step 6: Final answer
    x = 770,462,197.87

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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.