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Finding the Fourth Proportional to 844,608,117.10, 1,184,063,795.30 and 844,608,117.10

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Solution

The fourth proportional to 844,608,117.10, 1,184,063,795.30 and 844,608,117.10 is: 1,184,063,795.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    844,608,117.10 : 1,184,063,795.30 = 844,608,117.10 : x
  2. Step 2: Convert to fraction form
    844,608,117.10/1,184,063,795.30 = 844,608,117.10/x
  3. Step 3: Cross multiply
    844,608,117.10x = 1,184,063,795.30 × 844,608,117.10
  4. Step 4: Simplify right side
    844,608,117.10x = 1,000,069,892,674,612,864
  5. Step 5: Solve for x
    x = 1,000,069,892,674,612,864/844,608,117.10
  6. Step 6: Final answer
    x = 1,184,063,795.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.