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Finding the Fourth Proportional to 6,524,069,572.65, 9,786,104,358.98 and 6,524,069,572.65

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Solution

The fourth proportional to 6,524,069,572.65, 9,786,104,358.98 and 6,524,069,572.65 is: 9,786,104,358.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,524,069,572.65 : 9,786,104,358.98 = 6,524,069,572.65 : x
  2. Step 2: Convert to fraction form
    6,524,069,572.65/9,786,104,358.98 = 6,524,069,572.65/x
  3. Step 3: Cross multiply
    6,524,069,572.65x = 9,786,104,358.98 × 6,524,069,572.65
  4. Step 4: Simplify right side
    6,524,069,572.65x = 63,845,225,683,166,330,880
  5. Step 5: Solve for x
    x = 63,845,225,683,166,330,880/6,524,069,572.65
  6. Step 6: Final answer
    x = 9,786,104,358.98

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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.