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Finding the Fourth Proportional to 318,816,419.20, 477,468,801.60 and 318,816,419.20

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Solution

The fourth proportional to 318,816,419.20, 477,468,801.60 and 318,816,419.20 is: 477,468,801.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,816,419.20 : 477,468,801.60 = 318,816,419.20 : x
  2. Step 2: Convert to fraction form
    318,816,419.20/477,468,801.60 = 318,816,419.20/x
  3. Step 3: Cross multiply
    318,816,419.20x = 477,468,801.60 × 318,816,419.20
  4. Step 4: Simplify right side
    318,816,419.20x = 152,224,893,605,827,232
  5. Step 5: Solve for x
    x = 152,224,893,605,827,232/318,816,419.20
  6. Step 6: Final answer
    x = 477,468,801.60

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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.