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Finding the Fourth Proportional to 224,668,829.40, 337,003,244.10 and 188,389,123.80

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Solution

The fourth proportional to 224,668,829.40, 337,003,244.10 and 188,389,123.80 is: 282,583,685.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,668,829.40 : 337,003,244.10 = 188,389,123.80 : x
  2. Step 2: Convert to fraction form
    224,668,829.40/337,003,244.10 = 188,389,123.80/x
  3. Step 3: Cross multiply
    224,668,829.40x = 337,003,244.10 × 188,389,123.80
  4. Step 4: Simplify right side
    224,668,829.40x = 63,487,745,873,756,528
  5. Step 5: Solve for x
    x = 63,487,745,873,756,528/224,668,829.40
  6. Step 6: Final answer
    x = 282,583,685.70

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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.