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Finding the Fourth Proportional to 4,649,054,615,999.60, 6,973,581,923,999.40 and 4,649,054,615,999.60

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Solution

The fourth proportional to 4,649,054,615,999.60, 6,973,581,923,999.40 and 4,649,054,615,999.60 is: 6,973,581,923,999.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649,054,615,999.60 : 6,973,581,923,999.40 = 4,649,054,615,999.60 : x
  2. Step 2: Convert to fraction form
    4,649,054,615,999.60/6,973,581,923,999.40 = 4,649,054,615,999.60/x
  3. Step 3: Cross multiply
    4,649,054,615,999.60x = 6,973,581,923,999.40 × 4,649,054,615,999.60
  4. Step 4: Simplify right side
    4,649,054,615,999.60x = 32,420,563,233,820,783,415,394,304
  5. Step 5: Solve for x
    x = 32,420,563,233,820,783,415,394,304/4,649,054,615,999.60
  6. Step 6: Final answer
    x = 6,973,581,923,999.40

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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.