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Finding the Fourth Proportional to 201,643,336.80, 302,465,005.20 and 99,456,328.80

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Solution

The fourth proportional to 201,643,336.80, 302,465,005.20 and 99,456,328.80 is: 149,184,493.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,643,336.80 : 302,465,005.20 = 99,456,328.80 : x
  2. Step 2: Convert to fraction form
    201,643,336.80/302,465,005.20 = 99,456,328.80/x
  3. Step 3: Cross multiply
    201,643,336.80x = 302,465,005.20 × 99,456,328.80
  4. Step 4: Simplify right side
    201,643,336.80x = 30,082,059,007,664,908
  5. Step 5: Solve for x
    x = 30,082,059,007,664,908/201,643,336.80
  6. Step 6: Final answer
    x = 149,184,493.20

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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.