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Finding the Fourth Proportional to 409,839,759.40, 614,547,062.70 and 150,921,704.20

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Solution

The fourth proportional to 409,839,759.40, 614,547,062.70 and 150,921,704.20 is: 226,304,275.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,839,759.40 : 614,547,062.70 = 150,921,704.20 : x
  2. Step 2: Convert to fraction form
    409,839,759.40/614,547,062.70 = 150,921,704.20/x
  3. Step 3: Cross multiply
    409,839,759.40x = 614,547,062.70 × 150,921,704.20
  4. Step 4: Simplify right side
    409,839,759.40x = 92,748,490,013,788,256
  5. Step 5: Solve for x
    x = 92,748,490,013,788,256/409,839,759.40
  6. Step 6: Final answer
    x = 226,304,275.97

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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.