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Finding the Fourth Proportional to 564,408,043.60, 846,612,065.40 and 564,408,043.60

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Solution

The fourth proportional to 564,408,043.60, 846,612,065.40 and 564,408,043.60 is: 846,612,065.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,408,043.60 : 846,612,065.40 = 564,408,043.60 : x
  2. Step 2: Convert to fraction form
    564,408,043.60/846,612,065.40 = 564,408,043.60/x
  3. Step 3: Cross multiply
    564,408,043.60x = 846,612,065.40 × 564,408,043.60
  4. Step 4: Simplify right side
    564,408,043.60x = 477,834,659,520,569,280
  5. Step 5: Solve for x
    x = 477,834,659,520,569,280/564,408,043.60
  6. Step 6: Final answer
    x = 846,612,065.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.