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Finding the Fourth Proportional to 201,644,443.80, 302,466,665.70 and 99,457,435.80

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Solution

The fourth proportional to 201,644,443.80, 302,466,665.70 and 99,457,435.80 is: 149,186,153.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,644,443.80 : 302,466,665.70 = 99,457,435.80 : x
  2. Step 2: Convert to fraction form
    201,644,443.80/302,466,665.70 = 99,457,435.80/x
  3. Step 3: Cross multiply
    201,644,443.80x = 302,466,665.70 × 99,457,435.80
  4. Step 4: Simplify right side
    201,644,443.80x = 30,082,558,985,497,808
  5. Step 5: Solve for x
    x = 30,082,558,985,497,808/201,644,443.80
  6. Step 6: Final answer
    x = 149,186,153.70

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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.