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Finding the Fourth Proportional to 431,136,404.80, 646,704,607.20 and 158,471,742.40

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Solution

The fourth proportional to 431,136,404.80, 646,704,607.20 and 158,471,742.40 is: 237,707,613.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,136,404.80 : 646,704,607.20 = 158,471,742.40 : x
  2. Step 2: Convert to fraction form
    431,136,404.80/646,704,607.20 = 158,471,742.40/x
  3. Step 3: Cross multiply
    431,136,404.80x = 646,704,607.20 × 158,471,742.40
  4. Step 4: Simplify right side
    431,136,404.80x = 102,484,405,921,091,600
  5. Step 5: Solve for x
    x = 102,484,405,921,091,600/431,136,404.80
  6. Step 6: Final answer
    x = 237,707,613.60

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Why These Related Problems?

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