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Finding the Fourth Proportional to 556,416,043.20, 834,624,064.80 and 466,388,625.60

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Solution

The fourth proportional to 556,416,043.20, 834,624,064.80 and 466,388,625.60 is: 699,582,938.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,416,043.20 : 834,624,064.80 = 466,388,625.60 : x
  2. Step 2: Convert to fraction form
    556,416,043.20/834,624,064.80 = 466,388,625.60/x
  3. Step 3: Cross multiply
    556,416,043.20x = 834,624,064.80 × 466,388,625.60
  4. Step 4: Simplify right side
    556,416,043.20x = 389,259,170,474,757,312
  5. Step 5: Solve for x
    x = 389,259,170,474,757,312/556,416,043.20
  6. Step 6: Final answer
    x = 699,582,938.40

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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.