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Finding the Fourth Proportional to 564,516,002.60, 846,774,003.90 and 564,516,002.60

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Solution

The fourth proportional to 564,516,002.60, 846,774,003.90 and 564,516,002.60 is: 846,774,003.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,516,002.60 : 846,774,003.90 = 564,516,002.60 : x
  2. Step 2: Convert to fraction form
    564,516,002.60/846,774,003.90 = 564,516,002.60/x
  3. Step 3: Cross multiply
    564,516,002.60x = 846,774,003.90 × 564,516,002.60
  4. Step 4: Simplify right side
    564,516,002.60x = 478,017,475,787,224,832
  5. Step 5: Solve for x
    x = 478,017,475,787,224,832/564,516,002.60
  6. Step 6: Final answer
    x = 846,774,003.90

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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.