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Finding the Fourth Proportional to 3,446,572,078,460.80, 5,169,858,117,691 and 3,446,572,078,460.80

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Solution

The fourth proportional to 3,446,572,078,460.80, 5,169,858,117,691 and 3,446,572,078,460.80 is: 5,169,858,117,691

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446,572,078,460.80 : 5,169,858,117,691 = 3,446,572,078,460.80 : x
  2. Step 2: Convert to fraction form
    3,446,572,078,460.80/5,169,858,117,691 = 3,446,572,078,460.80/x
  3. Step 3: Cross multiply
    3,446,572,078,460.80x = 5,169,858,117,691 × 3,446,572,078,460.80
  4. Step 4: Simplify right side
    3,446,572,078,460.80x = 17,818,288,638,037,707,607,506,944
  5. Step 5: Solve for x
    x = 17,818,288,638,037,707,607,506,944/3,446,572,078,460.80
  6. Step 6: Final answer
    x = 5,169,858,117,691

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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.