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Finding the Fourth Proportional to 652,024,096.20, 978,036,144.30 and 587,526,841.80

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Solution

The fourth proportional to 652,024,096.20, 978,036,144.30 and 587,526,841.80 is: 881,290,262.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,024,096.20 : 978,036,144.30 = 587,526,841.80 : x
  2. Step 2: Convert to fraction form
    652,024,096.20/978,036,144.30 = 587,526,841.80/x
  3. Step 3: Cross multiply
    652,024,096.20x = 978,036,144.30 × 587,526,841.80
  4. Step 4: Simplify right side
    652,024,096.20x = 574,622,487,026,827,968
  5. Step 5: Solve for x
    x = 574,622,487,026,827,968/652,024,096.20
  6. Step 6: Final answer
    x = 881,290,262.70

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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.