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Finding the Fourth Proportional to 409,849,186.22, 565,596,341.07 and 224,206,216.10

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Solution

The fourth proportional to 409,849,186.22, 565,596,341.07 and 224,206,216.10 is: 309,407,020.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,849,186.22 : 565,596,341.07 = 224,206,216.10 : x
  2. Step 2: Convert to fraction form
    409,849,186.22/565,596,341.07 = 224,206,216.10/x
  3. Step 3: Cross multiply
    409,849,186.22x = 565,596,341.07 × 224,206,216.10
  4. Step 4: Simplify right side
    409,849,186.22x = 126,810,215,471,309,728
  5. Step 5: Solve for x
    x = 126,810,215,471,309,728/409,849,186.22
  6. Step 6: Final answer
    x = 309,407,020.28

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