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Finding the Fourth Proportional to 148,980,408,035.78, 223,470,612,053.65 and 148,980,408,035.78

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Solution

The fourth proportional to 148,980,408,035.78, 223,470,612,053.65 and 148,980,408,035.78 is: 223,470,612,053.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,980,408,035.78 : 223,470,612,053.65 = 148,980,408,035.78 : x
  2. Step 2: Convert to fraction form
    148,980,408,035.78/223,470,612,053.65 = 148,980,408,035.78/x
  3. Step 3: Cross multiply
    148,980,408,035.78x = 223,470,612,053.65 × 148,980,408,035.78
  4. Step 4: Simplify right side
    148,980,408,035.78x = 33,292,742,967,758,271,021,056
  5. Step 5: Solve for x
    x = 33,292,742,967,758,271,021,056/148,980,408,035.78
  6. Step 6: Final answer
    x = 223,470,612,053.65

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1.5x scale

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.