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Finding the Fourth Proportional to 564,408,049.10, 846,612,073.65 and 564,408,049.10

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Solution

The fourth proportional to 564,408,049.10, 846,612,073.65 and 564,408,049.10 is: 846,612,073.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,408,049.10 : 846,612,073.65 = 564,408,049.10 : x
  2. Step 2: Convert to fraction form
    564,408,049.10/846,612,073.65 = 564,408,049.10/x
  3. Step 3: Cross multiply
    564,408,049.10x = 846,612,073.65 × 564,408,049.10
  4. Step 4: Simplify right side
    564,408,049.10x = 477,834,668,833,302,016
  5. Step 5: Solve for x
    x = 477,834,668,833,302,016/564,408,049.10
  6. Step 6: Final answer
    x = 846,612,073.65

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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.