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Finding the Fourth Proportional to 421,116,092.10, 631,674,138.15 and 421,116,092.10

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Solution

The fourth proportional to 421,116,092.10, 631,674,138.15 and 421,116,092.10 is: 631,674,138.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,116,092.10 : 631,674,138.15 = 421,116,092.10 : x
  2. Step 2: Convert to fraction form
    421,116,092.10/631,674,138.15 = 421,116,092.10/x
  3. Step 3: Cross multiply
    421,116,092.10x = 631,674,138.15 × 421,116,092.10
  4. Step 4: Simplify right side
    421,116,092.10x = 266,008,144,538,363,520
  5. Step 5: Solve for x
    x = 266,008,144,538,363,520/421,116,092.10
  6. Step 6: Final answer
    x = 631,674,138.15

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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.