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Finding the Fourth Proportional to 409,849,181.22, 565,596,334.17 and 224,206,211.10

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Solution

The fourth proportional to 409,849,181.22, 565,596,334.17 and 224,206,211.10 is: 309,407,013.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,849,181.22 : 565,596,334.17 = 224,206,211.10 : x
  2. Step 2: Convert to fraction form
    409,849,181.22/565,596,334.17 = 224,206,211.10/x
  3. Step 3: Cross multiply
    409,849,181.22x = 565,596,334.17 × 224,206,211.10
  4. Step 4: Simplify right side
    409,849,181.22x = 126,810,211,096,305,152
  5. Step 5: Solve for x
    x = 126,810,211,096,305,152/409,849,181.22
  6. Step 6: Final answer
    x = 309,407,013.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.