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Finding the Fourth Proportional to 651,683,289,325.15, 977,524,933,987.73 and 651,683,289,325.15

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Solution

The fourth proportional to 651,683,289,325.15, 977,524,933,987.73 and 651,683,289,325.15 is: 977,524,933,987.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,683,289,325.15 : 977,524,933,987.73 = 651,683,289,325.15 : x
  2. Step 2: Convert to fraction form
    651,683,289,325.15/977,524,933,987.73 = 651,683,289,325.15/x
  3. Step 3: Cross multiply
    651,683,289,325.15x = 977,524,933,987.73 × 651,683,289,325.15
  4. Step 4: Simplify right side
    651,683,289,325.15x = 637,036,664,378,473,976,954,880
  5. Step 5: Solve for x
    x = 637,036,664,378,473,976,954,880/651,683,289,325.15
  6. Step 6: Final answer
    x = 977,524,933,987.73

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Double scale
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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.