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Finding the Fourth Proportional to 577,709,459.20, 866,011,843.20 and 214,106,310.40

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Solution

The fourth proportional to 577,709,459.20, 866,011,843.20 and 214,106,310.40 is: 320,954,759.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,709,459.20 : 866,011,843.20 = 214,106,310.40 : x
  2. Step 2: Convert to fraction form
    577,709,459.20/866,011,843.20 = 214,106,310.40/x
  3. Step 3: Cross multiply
    577,709,459.20x = 866,011,843.20 × 214,106,310.40
  4. Step 4: Simplify right side
    577,709,459.20x = 185,418,600,510,255,360
  5. Step 5: Solve for x
    x = 185,418,600,510,255,360/577,709,459.20
  6. Step 6: Final answer
    x = 320,954,759.45

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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.