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Finding the Fourth Proportional to 329,657,882.40, 494,486,823.60 and 99,662,464.80

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Solution

The fourth proportional to 329,657,882.40, 494,486,823.60 and 99,662,464.80 is: 149,493,697.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,657,882.40 : 494,486,823.60 = 99,662,464.80 : x
  2. Step 2: Convert to fraction form
    329,657,882.40/494,486,823.60 = 99,662,464.80/x
  3. Step 3: Cross multiply
    329,657,882.40x = 494,486,823.60 × 99,662,464.80
  4. Step 4: Simplify right side
    329,657,882.40x = 49,281,775,651,098,808
  5. Step 5: Solve for x
    x = 49,281,775,651,098,808/329,657,882.40
  6. Step 6: Final answer
    x = 149,493,697.20

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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.