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Finding the Fourth Proportional to 340,656,129.20, 510,984,193.80 and 296,314,266.80

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Solution

The fourth proportional to 340,656,129.20, 510,984,193.80 and 296,314,266.80 is: 444,471,400.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,656,129.20 : 510,984,193.80 = 296,314,266.80 : x
  2. Step 2: Convert to fraction form
    340,656,129.20/510,984,193.80 = 296,314,266.80/x
  3. Step 3: Cross multiply
    340,656,129.20x = 510,984,193.80 × 296,314,266.80
  4. Step 4: Simplify right side
    340,656,129.20x = 151,411,906,732,236,128
  5. Step 5: Solve for x
    x = 151,411,906,732,236,128/340,656,129.20
  6. Step 6: Final answer
    x = 444,471,400.20

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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.