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Finding the Fourth Proportional to 652,536,006.90, 978,804,010.35 and 376,659,078.90

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Solution

The fourth proportional to 652,536,006.90, 978,804,010.35 and 376,659,078.90 is: 564,988,618.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,536,006.90 : 978,804,010.35 = 376,659,078.90 : x
  2. Step 2: Convert to fraction form
    652,536,006.90/978,804,010.35 = 376,659,078.90/x
  3. Step 3: Cross multiply
    652,536,006.90x = 978,804,010.35 × 376,659,078.90
  4. Step 4: Simplify right side
    652,536,006.90x = 368,675,416,962,057,024
  5. Step 5: Solve for x
    x = 368,675,416,962,057,024/652,536,006.90
  6. Step 6: Final answer
    x = 564,988,618.35

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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.