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Finding the Fourth Proportional to 360,584,997.60, 540,877,496.40 and 224,536,101.60

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Solution

The fourth proportional to 360,584,997.60, 540,877,496.40 and 224,536,101.60 is: 336,804,152.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,584,997.60 : 540,877,496.40 = 224,536,101.60 : x
  2. Step 2: Convert to fraction form
    360,584,997.60/540,877,496.40 = 224,536,101.60/x
  3. Step 3: Cross multiply
    360,584,997.60x = 540,877,496.40 × 224,536,101.60
  4. Step 4: Simplify right side
    360,584,997.60x = 121,446,524,484,824,032
  5. Step 5: Solve for x
    x = 121,446,524,484,824,032/360,584,997.60
  6. Step 6: Final answer
    x = 336,804,152.40

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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.