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Finding the Fourth Proportional to 271,297,812.80, 406,971,602.40 and 89,545,390.40

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Solution

The fourth proportional to 271,297,812.80, 406,971,602.40 and 89,545,390.40 is: 134,326,298.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,297,812.80 : 406,971,602.40 = 89,545,390.40 : x
  2. Step 2: Convert to fraction form
    271,297,812.80/406,971,602.40 = 89,545,390.40/x
  3. Step 3: Cross multiply
    271,297,812.80x = 406,971,602.40 × 89,545,390.40
  4. Step 4: Simplify right side
    271,297,812.80x = 36,442,431,018,621,576
  5. Step 5: Solve for x
    x = 36,442,431,018,621,576/271,297,812.80
  6. Step 6: Final answer
    x = 134,326,298.63

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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.