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Finding the Fourth Proportional to 218,729,901.60, 328,094,852.40 and 218,729,901.60

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Solution

The fourth proportional to 218,729,901.60, 328,094,852.40 and 218,729,901.60 is: 328,094,852.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,729,901.60 : 328,094,852.40 = 218,729,901.60 : x
  2. Step 2: Convert to fraction form
    218,729,901.60/328,094,852.40 = 218,729,901.60/x
  3. Step 3: Cross multiply
    218,729,901.60x = 328,094,852.40 × 218,729,901.60
  4. Step 4: Simplify right side
    218,729,901.60x = 71,764,154,780,918,520
  5. Step 5: Solve for x
    x = 71,764,154,780,918,520/218,729,901.60
  6. Step 6: Final answer
    x = 328,094,852.40

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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.