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Finding the Fourth Proportional to 99,702,949.15, 149,554,423.73 and 99,702,949.15

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Solution

The fourth proportional to 99,702,949.15, 149,554,423.73 and 99,702,949.15 is: 149,554,423.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,702,949.15 : 149,554,423.73 = 99,702,949.15 : x
  2. Step 2: Convert to fraction form
    99,702,949.15/149,554,423.73 = 99,702,949.15/x
  3. Step 3: Cross multiply
    99,702,949.15x = 149,554,423.73 × 99,702,949.15
  4. Step 4: Simplify right side
    99,702,949.15x = 14,911,017,104,309,744
  5. Step 5: Solve for x
    x = 14,911,017,104,309,744/99,702,949.15
  6. Step 6: Final answer
    x = 149,554,423.73

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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.