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Finding the Fourth Proportional to 148,980,408,029.40, 223,470,612,044.16 and 148,980,408,029.40

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Solution

The fourth proportional to 148,980,408,029.40, 223,470,612,044.16 and 148,980,408,029.40 is: 223,470,612,044.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,980,408,029.40 : 223,470,612,044.16 = 148,980,408,029.40 : x
  2. Step 2: Convert to fraction form
    148,980,408,029.40/223,470,612,044.16 = 148,980,408,029.40/x
  3. Step 3: Cross multiply
    148,980,408,029.40x = 223,470,612,044.16 × 148,980,408,029.40
  4. Step 4: Simplify right side
    148,980,408,029.40x = 33,292,742,964,918,706,241,536
  5. Step 5: Solve for x
    x = 33,292,742,964,918,706,241,536/148,980,408,029.40
  6. Step 6: Final answer
    x = 223,470,612,044.16

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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.