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Finding the Fourth Proportional to 106,272,030.35, 159,408,045.53 and 106,272,030.35

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Solution

The fourth proportional to 106,272,030.35, 159,408,045.53 and 106,272,030.35 is: 159,408,045.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,272,030.35 : 159,408,045.53 = 106,272,030.35 : x
  2. Step 2: Convert to fraction form
    106,272,030.35/159,408,045.53 = 106,272,030.35/x
  3. Step 3: Cross multiply
    106,272,030.35x = 159,408,045.53 × 106,272,030.35
  4. Step 4: Simplify right side
    106,272,030.35x = 16,940,616,652,066,982
  5. Step 5: Solve for x
    x = 16,940,616,652,066,982/106,272,030.35
  6. Step 6: Final answer
    x = 159,408,045.53

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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.