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Finding the Fourth Proportional to 652,022,669.70, 978,034,004.55 and 587,525,415.30

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Solution

The fourth proportional to 652,022,669.70, 978,034,004.55 and 587,525,415.30 is: 881,288,122.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,022,669.70 : 978,034,004.55 = 587,525,415.30 : x
  2. Step 2: Convert to fraction form
    652,022,669.70/978,034,004.55 = 587,525,415.30/x
  3. Step 3: Cross multiply
    652,022,669.70x = 978,034,004.55 × 587,525,415.30
  4. Step 4: Simplify right side
    652,022,669.70x = 574,619,834,700,760,768
  5. Step 5: Solve for x
    x = 574,619,834,700,760,768/652,022,669.70
  6. Step 6: Final answer
    x = 881,288,122.95

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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.