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Finding the Fourth Proportional to 290,304,430.30, 435,456,645.45 and 260,743,188.70

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Solution

The fourth proportional to 290,304,430.30, 435,456,645.45 and 260,743,188.70 is: 391,114,783.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,304,430.30 : 435,456,645.45 = 260,743,188.70 : x
  2. Step 2: Convert to fraction form
    290,304,430.30/435,456,645.45 = 260,743,188.70/x
  3. Step 3: Cross multiply
    290,304,430.30x = 435,456,645.45 × 260,743,188.70
  4. Step 4: Simplify right side
    290,304,430.30x = 113,542,354,275,238,336
  5. Step 5: Solve for x
    x = 113,542,354,275,238,336/290,304,430.30
  6. Step 6: Final answer
    x = 391,114,783.05

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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.