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Finding the Fourth Proportional to 4,601,604,133.45, 6,902,406,200.18 and 4,601,604,133.45

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Solution

The fourth proportional to 4,601,604,133.45, 6,902,406,200.18 and 4,601,604,133.45 is: 6,902,406,200.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,601,604,133.45 : 6,902,406,200.18 = 4,601,604,133.45 : x
  2. Step 2: Convert to fraction form
    4,601,604,133.45/6,902,406,200.18 = 4,601,604,133.45/x
  3. Step 3: Cross multiply
    4,601,604,133.45x = 6,902,406,200.18 × 4,601,604,133.45
  4. Step 4: Simplify right side
    4,601,604,133.45x = 31,762,140,901,476,188,160
  5. Step 5: Solve for x
    x = 31,762,140,901,476,188,160/4,601,604,133.45
  6. Step 6: Final answer
    x = 6,902,406,200.18

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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.