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Finding the Fourth Proportional to 664,272,047.45, 996,408,071.18 and 664,272,047.45

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Solution

The fourth proportional to 664,272,047.45, 996,408,071.18 and 664,272,047.45 is: 996,408,071.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,272,047.45 : 996,408,071.18 = 664,272,047.45 : x
  2. Step 2: Convert to fraction form
    664,272,047.45/996,408,071.18 = 664,272,047.45/x
  3. Step 3: Cross multiply
    664,272,047.45x = 996,408,071.18 × 664,272,047.45
  4. Step 4: Simplify right side
    664,272,047.45x = 661,886,029,538,443,904
  5. Step 5: Solve for x
    x = 661,886,029,538,443,904/664,272,047.45
  6. Step 6: Final answer
    x = 996,408,071.18

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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.