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Finding the Fourth Proportional to 290,313,616.80, 434,873,228.40 and 146,787,319.20

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Solution

The fourth proportional to 290,313,616.80, 434,873,228.40 and 146,787,319.20 is: 219,879,026.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,313,616.80 : 434,873,228.40 = 146,787,319.20 : x
  2. Step 2: Convert to fraction form
    290,313,616.80/434,873,228.40 = 146,787,319.20/x
  3. Step 3: Cross multiply
    290,313,616.80x = 434,873,228.40 × 146,787,319.20
  4. Step 4: Simplify right side
    290,313,616.80x = 63,833,875,388,685,296
  5. Step 5: Solve for x
    x = 63,833,875,388,685,296/290,313,616.80
  6. Step 6: Final answer
    x = 219,879,026.32

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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.