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Finding the Fourth Proportional to 307,242,002.10, 460,863,003.15 and 307,242,002.10

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Solution

The fourth proportional to 307,242,002.10, 460,863,003.15 and 307,242,002.10 is: 460,863,003.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,242,002.10 : 460,863,003.15 = 307,242,002.10 : x
  2. Step 2: Convert to fraction form
    307,242,002.10/460,863,003.15 = 307,242,002.10/x
  3. Step 3: Cross multiply
    307,242,002.10x = 460,863,003.15 × 307,242,002.10
  4. Step 4: Simplify right side
    307,242,002.10x = 141,596,471,781,624,608
  5. Step 5: Solve for x
    x = 141,596,471,781,624,608/307,242,002.10
  6. Step 6: Final answer
    x = 460,863,003.15

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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.