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Finding the Fourth Proportional to 288,293,269.34, 432,513,616.98 and 83,821,344.60

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Solution

The fourth proportional to 288,293,269.34, 432,513,616.98 and 83,821,344.60 is: 125,753,448.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,293,269.34 : 432,513,616.98 = 83,821,344.60 : x
  2. Step 2: Convert to fraction form
    288,293,269.34/432,513,616.98 = 83,821,344.60/x
  3. Step 3: Cross multiply
    288,293,269.34x = 432,513,616.98 × 83,821,344.60
  4. Step 4: Simplify right side
    288,293,269.34x = 36,253,872,933,072,992
  5. Step 5: Solve for x
    x = 36,253,872,933,072,992/288,293,269.34
  6. Step 6: Final answer
    x = 125,753,448.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.