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Finding the Fourth Proportional to 4,662,308,200.35, 6,993,462,300.53 and 4,662,308,200.35

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Solution

The fourth proportional to 4,662,308,200.35, 6,993,462,300.53 and 4,662,308,200.35 is: 6,993,462,300.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662,308,200.35 : 6,993,462,300.53 = 4,662,308,200.35 : x
  2. Step 2: Convert to fraction form
    4,662,308,200.35/6,993,462,300.53 = 4,662,308,200.35/x
  3. Step 3: Cross multiply
    4,662,308,200.35x = 6,993,462,300.53 × 4,662,308,200.35
  4. Step 4: Simplify right side
    4,662,308,200.35x = 32,605,676,632,576,282,624
  5. Step 5: Solve for x
    x = 32,605,676,632,576,282,624/4,662,308,200.35
  6. Step 6: Final answer
    x = 6,993,462,300.53

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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.