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Finding the Fourth Proportional to 76,649,126,810.40, 114,973,690,215.60 and 76,649,126,810.40

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Solution

The fourth proportional to 76,649,126,810.40, 114,973,690,215.60 and 76,649,126,810.40 is: 114,973,690,215.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,649,126,810.40 : 114,973,690,215.60 = 76,649,126,810.40 : x
  2. Step 2: Convert to fraction form
    76,649,126,810.40/114,973,690,215.60 = 76,649,126,810.40/x
  3. Step 3: Cross multiply
    76,649,126,810.40x = 114,973,690,215.60 × 76,649,126,810.40
  4. Step 4: Simplify right side
    76,649,126,810.40x = 8,812,632,961,195,169,546,240
  5. Step 5: Solve for x
    x = 8,812,632,961,195,169,546,240/76,649,126,810.40
  6. Step 6: Final answer
    x = 114,973,690,215.60

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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.