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Finding the Fourth Proportional to 564,147,269.70, 846,220,904.55 and 564,147,269.70

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Solution

The fourth proportional to 564,147,269.70, 846,220,904.55 and 564,147,269.70 is: 846,220,904.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,147,269.70 : 846,220,904.55 = 564,147,269.70 : x
  2. Step 2: Convert to fraction form
    564,147,269.70/846,220,904.55 = 564,147,269.70/x
  3. Step 3: Cross multiply
    564,147,269.70x = 846,220,904.55 × 564,147,269.70
  4. Step 4: Simplify right side
    564,147,269.70x = 477,393,212,864,946,816
  5. Step 5: Solve for x
    x = 477,393,212,864,946,816/564,147,269.70
  6. Step 6: Final answer
    x = 846,220,904.55

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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.