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Finding the Fourth Proportional to 290,429,999.70, 435,644,999.55 and 224,673,033.30

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Solution

The fourth proportional to 290,429,999.70, 435,644,999.55 and 224,673,033.30 is: 337,009,549.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,429,999.70 : 435,644,999.55 = 224,673,033.30 : x
  2. Step 2: Convert to fraction form
    290,429,999.70/435,644,999.55 = 224,673,033.30/x
  3. Step 3: Cross multiply
    290,429,999.70x = 435,644,999.55 × 224,673,033.30
  4. Step 4: Simplify right side
    290,429,999.70x = 97,877,683,490,875,648
  5. Step 5: Solve for x
    x = 97,877,683,490,875,648/290,429,999.70
  6. Step 6: Final answer
    x = 337,009,549.95

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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.