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Finding the Fourth Proportional to 201,472,336.80, 302,208,505.20 and 65,171,498.40

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Solution

The fourth proportional to 201,472,336.80, 302,208,505.20 and 65,171,498.40 is: 97,757,247.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,472,336.80 : 302,208,505.20 = 65,171,498.40 : x
  2. Step 2: Convert to fraction form
    201,472,336.80/302,208,505.20 = 65,171,498.40/x
  3. Step 3: Cross multiply
    201,472,336.80x = 302,208,505.20 × 65,171,498.40
  4. Step 4: Simplify right side
    201,472,336.80x = 19,695,381,113,108,192
  5. Step 5: Solve for x
    x = 19,695,381,113,108,192/201,472,336.80
  6. Step 6: Final answer
    x = 97,757,247.60

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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.