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Finding the Fourth Proportional to 873,494,118,019.40, 1,310,241,177,029.10 and 873,494,118,019.40

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Solution

The fourth proportional to 873,494,118,019.40, 1,310,241,177,029.10 and 873,494,118,019.40 is: 1,310,241,177,029.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,494,118,019.40 : 1,310,241,177,029.10 = 873,494,118,019.40 : x
  2. Step 2: Convert to fraction form
    873,494,118,019.40/1,310,241,177,029.10 = 873,494,118,019.40/x
  3. Step 3: Cross multiply
    873,494,118,019.40x = 1,310,241,177,029.10 × 873,494,118,019.40
  4. Step 4: Simplify right side
    873,494,118,019.40x = 1,144,487,961,321,734,399,852,544
  5. Step 5: Solve for x
    x = 1,144,487,961,321,734,399,852,544/873,494,118,019.40
  6. Step 6: Final answer
    x = 1,310,241,177,029.10

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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.