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Finding the Fourth Proportional to 316,957,237.50, 475,468,468.50 and 109,695,284.40

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Solution

The fourth proportional to 316,957,237.50, 475,468,468.50 and 109,695,284.40 is: 164,554,213.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,957,237.50 : 475,468,468.50 = 109,695,284.40 : x
  2. Step 2: Convert to fraction form
    316,957,237.50/475,468,468.50 = 109,695,284.40/x
  3. Step 3: Cross multiply
    316,957,237.50x = 475,468,468.50 × 109,695,284.40
  4. Step 4: Simplify right side
    316,957,237.50x = 52,156,648,875,339,944
  5. Step 5: Solve for x
    x = 52,156,648,875,339,944/316,957,237.50
  6. Step 6: Final answer
    x = 164,554,213.33

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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.