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Finding the Fourth Proportional to 549,793,413.88, 824,690,354.10 and 161,616,271.48

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Solution

The fourth proportional to 549,793,413.88, 824,690,354.10 and 161,616,271.48 is: 242,424,475.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,793,413.88 : 824,690,354.10 = 161,616,271.48 : x
  2. Step 2: Convert to fraction form
    549,793,413.88/824,690,354.10 = 161,616,271.48/x
  3. Step 3: Cross multiply
    549,793,413.88x = 824,690,354.10 × 161,616,271.48
  4. Step 4: Simplify right side
    549,793,413.88x = 133,283,380,155,162,928
  5. Step 5: Solve for x
    x = 133,283,380,155,162,928/549,793,413.88
  6. Step 6: Final answer
    x = 242,424,475.79

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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.