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Finding the Fourth Proportional to 528,449,314,135.40, 792,673,971,203.10 and 528,449,314,135.40

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Solution

The fourth proportional to 528,449,314,135.40, 792,673,971,203.10 and 528,449,314,135.40 is: 792,673,971,203.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,449,314,135.40 : 792,673,971,203.10 = 528,449,314,135.40 : x
  2. Step 2: Convert to fraction form
    528,449,314,135.40/792,673,971,203.10 = 528,449,314,135.40/x
  3. Step 3: Cross multiply
    528,449,314,135.40x = 792,673,971,203.10 × 528,449,314,135.40
  4. Step 4: Simplify right side
    528,449,314,135.40x = 418,888,016,415,261,991,108,608
  5. Step 5: Solve for x
    x = 418,888,016,415,261,991,108,608/528,449,314,135.40
  6. Step 6: Final answer
    x = 792,673,971,203.10

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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.