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Finding the Fourth Proportional to 961,803,564.62, 1,327,176,944.55 and 538,440,408.59

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Solution

The fourth proportional to 961,803,564.62, 1,327,176,944.55 and 538,440,408.59 is: 742,985,077.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,803,564.62 : 1,327,176,944.55 = 538,440,408.59 : x
  2. Step 2: Convert to fraction form
    961,803,564.62/1,327,176,944.55 = 538,440,408.59/x
  3. Step 3: Cross multiply
    961,803,564.62x = 1,327,176,944.55 × 538,440,408.59
  4. Step 4: Simplify right side
    961,803,564.62x = 714,605,696,294,729,856
  5. Step 5: Solve for x
    x = 714,605,696,294,729,856/961,803,564.62
  6. Step 6: Final answer
    x = 742,985,077.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.