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Finding the Fourth Proportional to 464,601,656.64, 696,899,384.82 and 188,248,793.70

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Solution

The fourth proportional to 464,601,656.64, 696,899,384.82 and 188,248,793.70 is: 282,371,934.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,601,656.64 : 696,899,384.82 = 188,248,793.70 : x
  2. Step 2: Convert to fraction form
    464,601,656.64/696,899,384.82 = 188,248,793.70/x
  3. Step 3: Cross multiply
    464,601,656.64x = 696,899,384.82 × 188,248,793.70
  4. Step 4: Simplify right side
    464,601,656.64x = 131,190,468,522,637,088
  5. Step 5: Solve for x
    x = 131,190,468,522,637,088/464,601,656.64
  6. Step 6: Final answer
    x = 282,371,934.43

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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.