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Finding the Fourth Proportional to 512,460,455.80, 768,616,034.10 and 148,916,903.80

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Solution

The fourth proportional to 512,460,455.80, 768,616,034.10 and 148,916,903.80 is: 223,353,663.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,460,455.80 : 768,616,034.10 = 148,916,903.80 : x
  2. Step 2: Convert to fraction form
    512,460,455.80/768,616,034.10 = 148,916,903.80/x
  3. Step 3: Cross multiply
    512,460,455.80x = 768,616,034.10 × 148,916,903.80
  4. Step 4: Simplify right side
    512,460,455.80x = 114,459,920,009,207,232
  5. Step 5: Solve for x
    x = 114,459,920,009,207,232/512,460,455.80
  6. Step 6: Final answer
    x = 223,353,663.12

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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.