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Finding the Fourth Proportional to 652,536,038.40, 978,804,057.60 and 376,659,110.40

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Solution

The fourth proportional to 652,536,038.40, 978,804,057.60 and 376,659,110.40 is: 564,988,665.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,536,038.40 : 978,804,057.60 = 376,659,110.40 : x
  2. Step 2: Convert to fraction form
    652,536,038.40/978,804,057.60 = 376,659,110.40/x
  3. Step 3: Cross multiply
    652,536,038.40x = 978,804,057.60 × 376,659,110.40
  4. Step 4: Simplify right side
    652,536,038.40x = 368,675,465,591,526,336
  5. Step 5: Solve for x
    x = 368,675,465,591,526,336/652,536,038.40
  6. Step 6: Final answer
    x = 564,988,665.60

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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.