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Finding the Fourth Proportional to 653,221,382.80, 978,698,333.40 and 423,072,000.40

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Solution

The fourth proportional to 653,221,382.80, 978,698,333.40 and 423,072,000.40 is: 633,873,710.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,221,382.80 : 978,698,333.40 = 423,072,000.40 : x
  2. Step 2: Convert to fraction form
    653,221,382.80/978,698,333.40 = 423,072,000.40/x
  3. Step 3: Cross multiply
    653,221,382.80x = 978,698,333.40 × 423,072,000.40
  4. Step 4: Simplify right side
    653,221,382.80x = 414,059,861,699,684,096
  5. Step 5: Solve for x
    x = 414,059,861,699,684,096/653,221,382.80
  6. Step 6: Final answer
    x = 633,873,710.51

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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.