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Finding the Fourth Proportional to 290,322,446.40, 435,483,669.60 and 288,306,907.20

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Solution

The fourth proportional to 290,322,446.40, 435,483,669.60 and 288,306,907.20 is: 432,460,360.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,322,446.40 : 435,483,669.60 = 288,306,907.20 : x
  2. Step 2: Convert to fraction form
    290,322,446.40/435,483,669.60 = 288,306,907.20/x
  3. Step 3: Cross multiply
    290,322,446.40x = 435,483,669.60 × 288,306,907.20
  4. Step 4: Simplify right side
    290,322,446.40x = 125,552,949,918,482,656
  5. Step 5: Solve for x
    x = 125,552,949,918,482,656/290,322,446.40
  6. Step 6: Final answer
    x = 432,460,360.80

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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.