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Finding the Fourth Proportional to 458,283,744,003.80, 687,425,616,005.70 and 458,283,744,003.80

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Solution

The fourth proportional to 458,283,744,003.80, 687,425,616,005.70 and 458,283,744,003.80 is: 687,425,616,005.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,283,744,003.80 : 687,425,616,005.70 = 458,283,744,003.80 : x
  2. Step 2: Convert to fraction form
    458,283,744,003.80/687,425,616,005.70 = 458,283,744,003.80/x
  3. Step 3: Cross multiply
    458,283,744,003.80x = 687,425,616,005.70 × 458,283,744,003.80
  4. Step 4: Simplify right side
    458,283,744,003.80x = 315,035,985,027,210,676,273,152
  5. Step 5: Solve for x
    x = 315,035,985,027,210,676,273,152/458,283,744,003.80
  6. Step 6: Final answer
    x = 687,425,616,005.70

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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.