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Finding the Fourth Proportional to 201,878,998.80, 302,818,498.20 and 201,878,998.80

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Solution

The fourth proportional to 201,878,998.80, 302,818,498.20 and 201,878,998.80 is: 302,818,498.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,878,998.80 : 302,818,498.20 = 201,878,998.80 : x
  2. Step 2: Convert to fraction form
    201,878,998.80/302,818,498.20 = 201,878,998.80/x
  3. Step 3: Cross multiply
    201,878,998.80x = 302,818,498.20 × 201,878,998.80
  4. Step 4: Simplify right side
    201,878,998.80x = 61,132,695,234,735,600
  5. Step 5: Solve for x
    x = 61,132,695,234,735,600/201,878,998.80
  6. Step 6: Final answer
    x = 302,818,498.20

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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.