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Finding the Fourth Proportional to 4,782,155,442,783, 7,173,233,164,174.50 and 4,782,155,442,783

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Solution

The fourth proportional to 4,782,155,442,783, 7,173,233,164,174.50 and 4,782,155,442,783 is: 7,173,233,164,174.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782,155,442,783 : 7,173,233,164,174.50 = 4,782,155,442,783 : x
  2. Step 2: Convert to fraction form
    4,782,155,442,783/7,173,233,164,174.50 = 4,782,155,442,783/x
  3. Step 3: Cross multiply
    4,782,155,442,783x = 7,173,233,164,174.50 × 4,782,155,442,783
  4. Step 4: Simplify right side
    4,782,155,442,783x = 34,303,516,018,408,606,597,644,288
  5. Step 5: Solve for x
    x = 34,303,516,018,408,606,597,644,288/4,782,155,442,783
  6. Step 6: Final answer
    x = 7,173,233,164,174.50

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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.