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Finding the Fourth Proportional to 652,024,097.70, 978,036,146.55 and 587,526,843.30

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Solution

The fourth proportional to 652,024,097.70, 978,036,146.55 and 587,526,843.30 is: 881,290,264.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,024,097.70 : 978,036,146.55 = 587,526,843.30 : x
  2. Step 2: Convert to fraction form
    652,024,097.70/978,036,146.55 = 587,526,843.30/x
  3. Step 3: Cross multiply
    652,024,097.70x = 978,036,146.55 × 587,526,843.30
  4. Step 4: Simplify right side
    652,024,097.70x = 574,622,489,815,817,600
  5. Step 5: Solve for x
    x = 574,622,489,815,817,600/652,024,097.70
  6. Step 6: Final answer
    x = 881,290,264.95

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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.