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Finding the Fourth Proportional to 409,431,434.68, 614,254,713.54 and 147,142,467.64

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Solution

The fourth proportional to 409,431,434.68, 614,254,713.54 and 147,142,467.64 is: 220,752,357.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,431,434.68 : 614,254,713.54 = 147,142,467.64 : x
  2. Step 2: Convert to fraction form
    409,431,434.68/614,254,713.54 = 147,142,467.64/x
  3. Step 3: Cross multiply
    409,431,434.68x = 614,254,713.54 × 147,142,467.64
  4. Step 4: Simplify right side
    409,431,434.68x = 90,382,954,309,776,912
  5. Step 5: Solve for x
    x = 90,382,954,309,776,912/409,431,434.68
  6. Step 6: Final answer
    x = 220,752,357.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.