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Finding the Fourth Proportional to 290,465,294.80, 435,697,942.20 and 268,294,363.60

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Solution

The fourth proportional to 290,465,294.80, 435,697,942.20 and 268,294,363.60 is: 402,441,545.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,465,294.80 : 435,697,942.20 = 268,294,363.60 : x
  2. Step 2: Convert to fraction form
    290,465,294.80/435,697,942.20 = 268,294,363.60/x
  3. Step 3: Cross multiply
    290,465,294.80x = 435,697,942.20 × 268,294,363.60
  4. Step 4: Simplify right side
    290,465,294.80x = 116,895,302,124,378,576
  5. Step 5: Solve for x
    x = 116,895,302,124,378,576/290,465,294.80
  6. Step 6: Final answer
    x = 402,441,545.40

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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.