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Finding the Fourth Proportional to 652,869,662.58, 978,398,470.14 and 297,475,409.30

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Solution

The fourth proportional to 652,869,662.58, 978,398,470.14 and 297,475,409.30 is: 445,800,290.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,869,662.58 : 978,398,470.14 = 297,475,409.30 : x
  2. Step 2: Convert to fraction form
    652,869,662.58/978,398,470.14 = 297,475,409.30/x
  3. Step 3: Cross multiply
    652,869,662.58x = 978,398,470.14 × 297,475,409.30
  4. Step 4: Simplify right side
    652,869,662.58x = 291,049,485,363,390,336
  5. Step 5: Solve for x
    x = 291,049,485,363,390,336/652,869,662.58
  6. Step 6: Final answer
    x = 445,800,290.69

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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.