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Finding the Fourth Proportional to 296,462,332.33, 409,118,057.40 and 164,311,860.54

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Solution

The fourth proportional to 296,462,332.33, 409,118,057.40 and 164,311,860.54 is: 226,750,389.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,462,332.33 : 409,118,057.40 = 164,311,860.54 : x
  2. Step 2: Convert to fraction form
    296,462,332.33/409,118,057.40 = 164,311,860.54/x
  3. Step 3: Cross multiply
    296,462,332.33x = 409,118,057.40 × 164,311,860.54
  4. Step 4: Simplify right side
    296,462,332.33x = 67,222,949,191,904,504
  5. Step 5: Solve for x
    x = 67,222,949,191,904,504/296,462,332.33
  6. Step 6: Final answer
    x = 226,750,389.04

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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.