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Finding the Fourth Proportional to 199,707,569.60, 279,968,084.80 and 199,707,569.60

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Solution

The fourth proportional to 199,707,569.60, 279,968,084.80 and 199,707,569.60 is: 279,968,084.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,707,569.60 : 279,968,084.80 = 199,707,569.60 : x
  2. Step 2: Convert to fraction form
    199,707,569.60/279,968,084.80 = 199,707,569.60/x
  3. Step 3: Cross multiply
    199,707,569.60x = 279,968,084.80 × 199,707,569.60
  4. Step 4: Simplify right side
    199,707,569.60x = 55,911,745,780,974,704
  5. Step 5: Solve for x
    x = 55,911,745,780,974,704/199,707,569.60
  6. Step 6: Final answer
    x = 279,968,084.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.