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Finding the Fourth Proportional to 51,018,408,036.60, 71,260,471,842.60 and 51,018,408,036.60

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Solution

The fourth proportional to 51,018,408,036.60, 71,260,471,842.60 and 51,018,408,036.60 is: 71,260,471,842.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,018,408,036.60 : 71,260,471,842.60 = 51,018,408,036.60 : x
  2. Step 2: Convert to fraction form
    51,018,408,036.60/71,260,471,842.60 = 51,018,408,036.60/x
  3. Step 3: Cross multiply
    51,018,408,036.60x = 71,260,471,842.60 × 51,018,408,036.60
  4. Step 4: Simplify right side
    51,018,408,036.60x = 3,635,595,829,346,412,003,328
  5. Step 5: Solve for x
    x = 3,635,595,829,346,412,003,328/51,018,408,036.60
  6. Step 6: Final answer
    x = 71,260,471,842.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.