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Finding the Fourth Proportional to 290,465,299.80, 435,697,949.70 and 268,294,368.60

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Solution

The fourth proportional to 290,465,299.80, 435,697,949.70 and 268,294,368.60 is: 402,441,552.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,465,299.80 : 435,697,949.70 = 268,294,368.60 : x
  2. Step 2: Convert to fraction form
    290,465,299.80/435,697,949.70 = 268,294,368.60/x
  3. Step 3: Cross multiply
    290,465,299.80x = 435,697,949.70 × 268,294,368.60
  4. Step 4: Simplify right side
    290,465,299.80x = 116,895,306,315,076,048
  5. Step 5: Solve for x
    x = 116,895,306,315,076,048/290,465,299.80
  6. Step 6: Final answer
    x = 402,441,552.90

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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.