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Finding the Fourth Proportional to 498,528,801.60, 747,793,202.40 and 413,594,145.60

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Solution

The fourth proportional to 498,528,801.60, 747,793,202.40 and 413,594,145.60 is: 620,391,218.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,528,801.60 : 747,793,202.40 = 413,594,145.60 : x
  2. Step 2: Convert to fraction form
    498,528,801.60/747,793,202.40 = 413,594,145.60/x
  3. Step 3: Cross multiply
    498,528,801.60x = 747,793,202.40 × 413,594,145.60
  4. Step 4: Simplify right side
    498,528,801.60x = 309,282,890,632,115,904
  5. Step 5: Solve for x
    x = 309,282,890,632,115,904/498,528,801.60
  6. Step 6: Final answer
    x = 620,391,218.40

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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.