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Finding the Fourth Proportional to 290,304,047.80, 435,456,071.70 and 280,450,300.60

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Solution

The fourth proportional to 290,304,047.80, 435,456,071.70 and 280,450,300.60 is: 420,675,450.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,304,047.80 : 435,456,071.70 = 280,450,300.60 : x
  2. Step 2: Convert to fraction form
    290,304,047.80/435,456,071.70 = 280,450,300.60/x
  3. Step 3: Cross multiply
    290,304,047.80x = 435,456,071.70 × 280,450,300.60
  4. Step 4: Simplify right side
    290,304,047.80x = 122,123,786,206,360,160
  5. Step 5: Solve for x
    x = 122,123,786,206,360,160/290,304,047.80
  6. Step 6: Final answer
    x = 420,675,450.90

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1.5x scale

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.