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Finding the Fourth Proportional to 489,387,705,643.20, 734,081,558,464.80 and 489,387,705,643.20

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Solution

The fourth proportional to 489,387,705,643.20, 734,081,558,464.80 and 489,387,705,643.20 is: 734,081,558,464.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,387,705,643.20 : 734,081,558,464.80 = 489,387,705,643.20 : x
  2. Step 2: Convert to fraction form
    489,387,705,643.20/734,081,558,464.80 = 489,387,705,643.20/x
  3. Step 3: Cross multiply
    489,387,705,643.20x = 734,081,558,464.80 × 489,387,705,643.20
  4. Step 4: Simplify right side
    489,387,705,643.20x = 359,250,489,652,073,054,863,360
  5. Step 5: Solve for x
    x = 359,250,489,652,073,054,863,360/489,387,705,643.20
  6. Step 6: Final answer
    x = 734,081,558,464.80

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1.5x scale

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.