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Finding the Fourth Proportional to 199,486,976.80, 298,978,522.80 and 97,030,400.80

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Solution

The fourth proportional to 199,486,976.80, 298,978,522.80 and 97,030,400.80 is: 145,423,056.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,486,976.80 : 298,978,522.80 = 97,030,400.80 : x
  2. Step 2: Convert to fraction form
    199,486,976.80/298,978,522.80 = 97,030,400.80/x
  3. Step 3: Cross multiply
    199,486,976.80x = 298,978,522.80 × 97,030,400.80
  4. Step 4: Simplify right side
    199,486,976.80x = 29,010,005,897,875,940
  5. Step 5: Solve for x
    x = 29,010,005,897,875,940/199,486,976.80
  6. Step 6: Final answer
    x = 145,423,056.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.