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Finding the Fourth Proportional to 564,408,001.10, 846,612,001.65 and 564,408,001.10

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Solution

The fourth proportional to 564,408,001.10, 846,612,001.65 and 564,408,001.10 is: 846,612,001.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,408,001.10 : 846,612,001.65 = 564,408,001.10 : x
  2. Step 2: Convert to fraction form
    564,408,001.10/846,612,001.65 = 564,408,001.10/x
  3. Step 3: Cross multiply
    564,408,001.10x = 846,612,001.65 × 564,408,001.10
  4. Step 4: Simplify right side
    564,408,001.10x = 477,834,587,558,546,432
  5. Step 5: Solve for x
    x = 477,834,587,558,546,432/564,408,001.10
  6. Step 6: Final answer
    x = 846,612,001.65

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Similar ratio
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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.