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Finding the Fourth Proportional to 199,314,340.90, 298,971,511.35 and 199,314,340.90

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Solution

The fourth proportional to 199,314,340.90, 298,971,511.35 and 199,314,340.90 is: 298,971,511.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,314,340.90 : 298,971,511.35 = 199,314,340.90 : x
  2. Step 2: Convert to fraction form
    199,314,340.90/298,971,511.35 = 199,314,340.90/x
  3. Step 3: Cross multiply
    199,314,340.90x = 298,971,511.35 × 199,314,340.90
  4. Step 4: Simplify right side
    199,314,340.90x = 59,589,309,732,602,128
  5. Step 5: Solve for x
    x = 59,589,309,732,602,128/199,314,340.90
  6. Step 6: Final answer
    x = 298,971,511.35

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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.