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Finding the Fourth Proportional to 451,820,003.40, 677,730,005.10 and 451,820,003.40

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Solution

The fourth proportional to 451,820,003.40, 677,730,005.10 and 451,820,003.40 is: 677,730,005.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,820,003.40 : 677,730,005.10 = 451,820,003.40 : x
  2. Step 2: Convert to fraction form
    451,820,003.40/677,730,005.10 = 451,820,003.40/x
  3. Step 3: Cross multiply
    451,820,003.40x = 677,730,005.10 × 451,820,003.40
  4. Step 4: Simplify right side
    451,820,003.40x = 306,211,973,208,564,032
  5. Step 5: Solve for x
    x = 306,211,973,208,564,032/451,820,003.40
  6. Step 6: Final answer
    x = 677,730,005.10

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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.