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Finding the Fourth Proportional to 863,122,415.40, 1,294,683,623.10 and 863,122,415.40

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Solution

The fourth proportional to 863,122,415.40, 1,294,683,623.10 and 863,122,415.40 is: 1,294,683,623.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,122,415.40 : 1,294,683,623.10 = 863,122,415.40 : x
  2. Step 2: Convert to fraction form
    863,122,415.40/1,294,683,623.10 = 863,122,415.40/x
  3. Step 3: Cross multiply
    863,122,415.40x = 1,294,683,623.10 × 863,122,415.40
  4. Step 4: Simplify right side
    863,122,415.40x = 1,117,470,455,948,895,104
  5. Step 5: Solve for x
    x = 1,117,470,455,948,895,104/863,122,415.40
  6. Step 6: Final answer
    x = 1,294,683,623.10

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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.